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Finding the Fourth Proportional to 160.67, 240.98 and 52.46

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Solution

The fourth proportional to 160.67, 240.98 and 52.46 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.67 : 240.98 = 52.46 : x
  2. Step 2: Convert to fraction form
    160.67/240.98 = 52.46/x
  3. Step 3: Cross multiply
    160.67x = 240.98 × 52.46
  4. Step 4: Simplify right side
    160.67x = 12,640.34
  5. Step 5: Solve for x
    x = 12,640.34/160.67
  6. Step 6: Final answer
    x = 78.68

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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.