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Finding the Fourth Proportional to 314.52, 471.86 and 98.12

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Solution

The fourth proportional to 314.52, 471.86 and 98.12 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 471.86 = 98.12 : x
  2. Step 2: Convert to fraction form
    314.52/471.86 = 98.12/x
  3. Step 3: Cross multiply
    314.52x = 471.86 × 98.12
  4. Step 4: Simplify right side
    314.52x = 46,298.90
  5. Step 5: Solve for x
    x = 46,298.90/314.52
  6. Step 6: Final answer
    x = 147.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.