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Finding the Fourth Proportional to 160.34, 241.79 and 158.58

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Solution

The fourth proportional to 160.34, 241.79 and 158.58 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 241.79 = 158.58 : x
  2. Step 2: Convert to fraction form
    160.34/241.79 = 158.58/x
  3. Step 3: Cross multiply
    160.34x = 241.79 × 158.58
  4. Step 4: Simplify right side
    160.34x = 38,342.27
  5. Step 5: Solve for x
    x = 38,342.27/160.34
  6. Step 6: Final answer
    x = 239.14

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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.