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Finding the Fourth Proportional to 159.42, 237.62 and 155.96

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Solution

The fourth proportional to 159.42, 237.62 and 155.96 is: 232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 237.62 = 155.96 : x
  2. Step 2: Convert to fraction form
    159.42/237.62 = 155.96/x
  3. Step 3: Cross multiply
    159.42x = 237.62 × 155.96
  4. Step 4: Simplify right side
    159.42x = 37,057.25
  5. Step 5: Solve for x
    x = 37,057.25/159.42
  6. Step 6: Final answer
    x = 232.45

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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.