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Finding the Fourth Proportional to 153.76, 229.52 and 142.34

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Solution

The fourth proportional to 153.76, 229.52 and 142.34 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.76 : 229.52 = 142.34 : x
  2. Step 2: Convert to fraction form
    153.76/229.52 = 142.34/x
  3. Step 3: Cross multiply
    153.76x = 229.52 × 142.34
  4. Step 4: Simplify right side
    153.76x = 32,669.88
  5. Step 5: Solve for x
    x = 32,669.88/153.76
  6. Step 6: Final answer
    x = 212.47

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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.