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Finding the Fourth Proportional to 314.28, 471.54 and 97.86

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Solution

The fourth proportional to 314.28, 471.54 and 97.86 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 471.54 = 97.86 : x
  2. Step 2: Convert to fraction form
    314.28/471.54 = 97.86/x
  3. Step 3: Cross multiply
    314.28x = 471.54 × 97.86
  4. Step 4: Simplify right side
    314.28x = 46,144.90
  5. Step 5: Solve for x
    x = 46,144.90/314.28
  6. Step 6: Final answer
    x = 146.83

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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.