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Finding the Fourth Proportional to 229.52, 316.30 and 155.68

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Solution

The fourth proportional to 229.52, 316.30 and 155.68 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 316.30 = 155.68 : x
  2. Step 2: Convert to fraction form
    229.52/316.30 = 155.68/x
  3. Step 3: Cross multiply
    229.52x = 316.30 × 155.68
  4. Step 4: Simplify right side
    229.52x = 49,241.58
  5. Step 5: Solve for x
    x = 49,241.58/229.52
  6. Step 6: Final answer
    x = 214.54

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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.