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Finding the Fourth Proportional to 160.47, 239.32 and 157.59

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Solution

The fourth proportional to 160.47, 239.32 and 157.59 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 239.32 = 157.59 : x
  2. Step 2: Convert to fraction form
    160.47/239.32 = 157.59/x
  3. Step 3: Cross multiply
    160.47x = 239.32 × 157.59
  4. Step 4: Simplify right side
    160.47x = 37,714.44
  5. Step 5: Solve for x
    x = 37,714.44/160.47
  6. Step 6: Final answer
    x = 235.02

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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.