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Finding the Fourth Proportional to 160.48, 240.40 and 158.72

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Solution

The fourth proportional to 160.48, 240.40 and 158.72 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 240.40 = 158.72 : x
  2. Step 2: Convert to fraction form
    160.48/240.40 = 158.72/x
  3. Step 3: Cross multiply
    160.48x = 240.40 × 158.72
  4. Step 4: Simplify right side
    160.48x = 38,156.29
  5. Step 5: Solve for x
    x = 38,156.29/160.48
  6. Step 6: Final answer
    x = 237.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.