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Finding the Fourth Proportional to 402.06, 602.65 and 171.15

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Solution

The fourth proportional to 402.06, 602.65 and 171.15 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 602.65 = 171.15 : x
  2. Step 2: Convert to fraction form
    402.06/602.65 = 171.15/x
  3. Step 3: Cross multiply
    402.06x = 602.65 × 171.15
  4. Step 4: Simplify right side
    402.06x = 103,141.02
  5. Step 5: Solve for x
    x = 103,141.02/402.06
  6. Step 6: Final answer
    x = 256.53

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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.