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Finding the Fourth Proportional to 153.80, 229.59 and 142.54

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Solution

The fourth proportional to 153.80, 229.59 and 142.54 is: 212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 229.59 = 142.54 : x
  2. Step 2: Convert to fraction form
    153.80/229.59 = 142.54/x
  3. Step 3: Cross multiply
    153.80x = 229.59 × 142.54
  4. Step 4: Simplify right side
    153.80x = 32,725.76
  5. Step 5: Solve for x
    x = 32,725.76/153.80
  6. Step 6: Final answer
    x = 212.78

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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.