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Finding the Fourth Proportional to 160.13, 239.96 and 142.82

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Solution

The fourth proportional to 160.13, 239.96 and 142.82 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 239.96 = 142.82 : x
  2. Step 2: Convert to fraction form
    160.13/239.96 = 142.82/x
  3. Step 3: Cross multiply
    160.13x = 239.96 × 142.82
  4. Step 4: Simplify right side
    160.13x = 34,271.09
  5. Step 5: Solve for x
    x = 34,271.09/160.13
  6. Step 6: Final answer
    x = 214.02

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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.