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Finding the Fourth Proportional to 314.73, 471.72 and 177.87

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Solution

The fourth proportional to 314.73, 471.72 and 177.87 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 471.72 = 177.87 : x
  2. Step 2: Convert to fraction form
    314.73/471.72 = 177.87/x
  3. Step 3: Cross multiply
    314.73x = 471.72 × 177.87
  4. Step 4: Simplify right side
    314.73x = 83,904.84
  5. Step 5: Solve for x
    x = 83,904.84/314.73
  6. Step 6: Final answer
    x = 266.59

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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.