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Finding the Fourth Proportional to 159.64, 237.41 and 156.04

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Solution

The fourth proportional to 159.64, 237.41 and 156.04 is: 232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 237.41 = 156.04 : x
  2. Step 2: Convert to fraction form
    159.64/237.41 = 156.04/x
  3. Step 3: Cross multiply
    159.64x = 237.41 × 156.04
  4. Step 4: Simplify right side
    159.64x = 37,045.46
  5. Step 5: Solve for x
    x = 37,045.46/159.64
  6. Step 6: Final answer
    x = 232.06

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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.