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Finding the Fourth Proportional to 666.06, 999.14 and 203.80

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Solution

The fourth proportional to 666.06, 999.14 and 203.80 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.06 : 999.14 = 203.80 : x
  2. Step 2: Convert to fraction form
    666.06/999.14 = 203.80/x
  3. Step 3: Cross multiply
    666.06x = 999.14 × 203.80
  4. Step 4: Simplify right side
    666.06x = 203,627.22
  5. Step 5: Solve for x
    x = 203,627.22/666.06
  6. Step 6: Final answer
    x = 305.72

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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.