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Finding the Fourth Proportional to 314.55, 471.42 and 177.39

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Solution

The fourth proportional to 314.55, 471.42 and 177.39 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 471.42 = 177.39 : x
  2. Step 2: Convert to fraction form
    314.55/471.42 = 177.39/x
  3. Step 3: Cross multiply
    314.55x = 471.42 × 177.39
  4. Step 4: Simplify right side
    314.55x = 83,625.19
  5. Step 5: Solve for x
    x = 83,625.19/314.55
  6. Step 6: Final answer
    x = 265.86

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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.