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Finding the Fourth Proportional to 154.72, 232.14 and 142.08

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Solution

The fourth proportional to 154.72, 232.14 and 142.08 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.72 : 232.14 = 142.08 : x
  2. Step 2: Convert to fraction form
    154.72/232.14 = 142.08/x
  3. Step 3: Cross multiply
    154.72x = 232.14 × 142.08
  4. Step 4: Simplify right side
    154.72x = 32,982.37
  5. Step 5: Solve for x
    x = 32,982.37/154.72
  6. Step 6: Final answer
    x = 213.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.