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Finding the Fourth Proportional to 159.29, 240.37 and 153.57

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Solution

The fourth proportional to 159.29, 240.37 and 153.57 is: 231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.29 : 240.37 = 153.57 : x
  2. Step 2: Convert to fraction form
    159.29/240.37 = 153.57/x
  3. Step 3: Cross multiply
    159.29x = 240.37 × 153.57
  4. Step 4: Simplify right side
    159.29x = 36,914.11
  5. Step 5: Solve for x
    x = 36,914.11/159.29
  6. Step 6: Final answer
    x = 231.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.