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Finding the Fourth Proportional to 316.59, 474.90 and 97.21

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Solution

The fourth proportional to 316.59, 474.90 and 97.21 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.59 : 474.90 = 97.21 : x
  2. Step 2: Convert to fraction form
    316.59/474.90 = 97.21/x
  3. Step 3: Cross multiply
    316.59x = 474.90 × 97.21
  4. Step 4: Simplify right side
    316.59x = 46,165.03
  5. Step 5: Solve for x
    x = 46,165.03/316.59
  6. Step 6: Final answer
    x = 145.82

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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.