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Finding the Fourth Proportional to 666.98, 1,000.47 and 180.02

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Solution

The fourth proportional to 666.98, 1,000.47 and 180.02 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.98 : 1,000.47 = 180.02 : x
  2. Step 2: Convert to fraction form
    666.98/1,000.47 = 180.02/x
  3. Step 3: Cross multiply
    666.98x = 1,000.47 × 180.02
  4. Step 4: Simplify right side
    666.98x = 180,104.61
  5. Step 5: Solve for x
    x = 180,104.61/666.98
  6. Step 6: Final answer
    x = 270.03

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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.