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Finding the Fourth Proportional to 159.88, 238.70 and 150.66

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Solution

The fourth proportional to 159.88, 238.70 and 150.66 is: 224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.88 : 238.70 = 150.66 : x
  2. Step 2: Convert to fraction form
    159.88/238.70 = 150.66/x
  3. Step 3: Cross multiply
    159.88x = 238.70 × 150.66
  4. Step 4: Simplify right side
    159.88x = 35,962.54
  5. Step 5: Solve for x
    x = 35,962.54/159.88
  6. Step 6: Final answer
    x = 224.93

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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.