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Finding the Fourth Proportional to 316.60, 474.89 and 111.17

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Solution

The fourth proportional to 316.60, 474.89 and 111.17 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.60 : 474.89 = 111.17 : x
  2. Step 2: Convert to fraction form
    316.60/474.89 = 111.17/x
  3. Step 3: Cross multiply
    316.60x = 474.89 × 111.17
  4. Step 4: Simplify right side
    316.60x = 52,791.15
  5. Step 5: Solve for x
    x = 52,791.15/316.60
  6. Step 6: Final answer
    x = 166.75

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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.