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Finding the Fourth Proportional to 666.66, 1,000.02 and 179.76

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Solution

The fourth proportional to 666.66, 1,000.02 and 179.76 is: 269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.66 : 1,000.02 = 179.76 : x
  2. Step 2: Convert to fraction form
    666.66/1,000.02 = 179.76/x
  3. Step 3: Cross multiply
    666.66x = 1,000.02 × 179.76
  4. Step 4: Simplify right side
    666.66x = 179,763.60
  5. Step 5: Solve for x
    x = 179,763.60/666.66
  6. Step 6: Final answer
    x = 269.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.