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Finding the Fourth Proportional to 160.30, 240.05 and 142.21

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Solution

The fourth proportional to 160.30, 240.05 and 142.21 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.30 : 240.05 = 142.21 : x
  2. Step 2: Convert to fraction form
    160.30/240.05 = 142.21/x
  3. Step 3: Cross multiply
    160.30x = 240.05 × 142.21
  4. Step 4: Simplify right side
    160.30x = 34,136.80
  5. Step 5: Solve for x
    x = 34,136.80/160.30
  6. Step 6: Final answer
    x = 212.96

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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.