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Finding the Fourth Proportional to 153.96, 229.68 and 134.52

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Solution

The fourth proportional to 153.96, 229.68 and 134.52 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 229.68 = 134.52 : x
  2. Step 2: Convert to fraction form
    153.96/229.68 = 134.52/x
  3. Step 3: Cross multiply
    153.96x = 229.68 × 134.52
  4. Step 4: Simplify right side
    153.96x = 30,896.55
  5. Step 5: Solve for x
    x = 30,896.55/153.96
  6. Step 6: Final answer
    x = 200.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.