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Finding the Fourth Proportional to 159.48, 237.62 and 152.49

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Solution

The fourth proportional to 159.48, 237.62 and 152.49 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 237.62 = 152.49 : x
  2. Step 2: Convert to fraction form
    159.48/237.62 = 152.49/x
  3. Step 3: Cross multiply
    159.48x = 237.62 × 152.49
  4. Step 4: Simplify right side
    159.48x = 36,234.67
  5. Step 5: Solve for x
    x = 36,234.67/159.48
  6. Step 6: Final answer
    x = 227.21

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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.