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Finding the Fourth Proportional to 314.38, 471.57 and 97.97

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Solution

The fourth proportional to 314.38, 471.57 and 97.97 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 471.57 = 97.97 : x
  2. Step 2: Convert to fraction form
    314.38/471.57 = 97.97/x
  3. Step 3: Cross multiply
    314.38x = 471.57 × 97.97
  4. Step 4: Simplify right side
    314.38x = 46,199.71
  5. Step 5: Solve for x
    x = 46,199.71/314.38
  6. Step 6: Final answer
    x = 146.96

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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.