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Finding the Fourth Proportional to 314.30, 471.45 and 97.90

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Solution

The fourth proportional to 314.30, 471.45 and 97.90 is: 146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 471.45 = 97.90 : x
  2. Step 2: Convert to fraction form
    314.30/471.45 = 97.90/x
  3. Step 3: Cross multiply
    314.30x = 471.45 × 97.90
  4. Step 4: Simplify right side
    314.30x = 46,154.96
  5. Step 5: Solve for x
    x = 46,154.96/314.30
  6. Step 6: Final answer
    x = 146.85

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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.