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Finding the Fourth Proportional to 316.38, 474.39 and 162.14

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Solution

The fourth proportional to 316.38, 474.39 and 162.14 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 474.39 = 162.14 : x
  2. Step 2: Convert to fraction form
    316.38/474.39 = 162.14/x
  3. Step 3: Cross multiply
    316.38x = 474.39 × 162.14
  4. Step 4: Simplify right side
    316.38x = 76,915.22
  5. Step 5: Solve for x
    x = 76,915.22/316.38
  6. Step 6: Final answer
    x = 243.11

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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.