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Finding the Fourth Proportional to 154.61, 232.07 and 140.94

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Solution

The fourth proportional to 154.61, 232.07 and 140.94 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.61 : 232.07 = 140.94 : x
  2. Step 2: Convert to fraction form
    154.61/232.07 = 140.94/x
  3. Step 3: Cross multiply
    154.61x = 232.07 × 140.94
  4. Step 4: Simplify right side
    154.61x = 32,707.24
  5. Step 5: Solve for x
    x = 32,707.24/154.61
  6. Step 6: Final answer
    x = 211.55

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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.