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Finding the Fourth Proportional to 159, 237.05 and 149.82

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Solution

The fourth proportional to 159, 237.05 and 149.82 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 237.05 = 149.82 : x
  2. Step 2: Convert to fraction form
    159/237.05 = 149.82/x
  3. Step 3: Cross multiply
    159x = 237.05 × 149.82
  4. Step 4: Simplify right side
    159x = 35,514.08
  5. Step 5: Solve for x
    x = 35,514.08/159
  6. Step 6: Final answer
    x = 223.36

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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.