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Finding the Fourth Proportional to 159.84, 240.17 and 154.98

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Solution

The fourth proportional to 159.84, 240.17 and 154.98 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 240.17 = 154.98 : x
  2. Step 2: Convert to fraction form
    159.84/240.17 = 154.98/x
  3. Step 3: Cross multiply
    159.84x = 240.17 × 154.98
  4. Step 4: Simplify right side
    159.84x = 37,220.77
  5. Step 5: Solve for x
    x = 37,220.77/159.84
  6. Step 6: Final answer
    x = 232.86

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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.