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Finding the Fourth Proportional to 160.34, 240.76 and 99.85

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Solution

The fourth proportional to 160.34, 240.76 and 99.85 is: 149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 240.76 = 99.85 : x
  2. Step 2: Convert to fraction form
    160.34/240.76 = 99.85/x
  3. Step 3: Cross multiply
    160.34x = 240.76 × 99.85
  4. Step 4: Simplify right side
    160.34x = 24,038.68
  5. Step 5: Solve for x
    x = 24,038.68/160.34
  6. Step 6: Final answer
    x = 149.93

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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.