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Finding the Fourth Proportional to 160.24, 239.16 and 142

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Solution

The fourth proportional to 160.24, 239.16 and 142 is: 211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 239.16 = 142 : x
  2. Step 2: Convert to fraction form
    160.24/239.16 = 142/x
  3. Step 3: Cross multiply
    160.24x = 239.16 × 142
  4. Step 4: Simplify right side
    160.24x = 33,960.72
  5. Step 5: Solve for x
    x = 33,960.72/160.24
  6. Step 6: Final answer
    x = 211.94

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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.