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Finding the Fourth Proportional to 229.13, 316.09 and 155.42

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Solution

The fourth proportional to 229.13, 316.09 and 155.42 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 316.09 = 155.42 : x
  2. Step 2: Convert to fraction form
    229.13/316.09 = 155.42/x
  3. Step 3: Cross multiply
    229.13x = 316.09 × 155.42
  4. Step 4: Simplify right side
    229.13x = 49,126.71
  5. Step 5: Solve for x
    x = 49,126.71/229.13
  6. Step 6: Final answer
    x = 214.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.