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Finding the Fourth Proportional to 653.46, 980.19 and 159.87

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Solution

The fourth proportional to 653.46, 980.19 and 159.87 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.46 : 980.19 = 159.87 : x
  2. Step 2: Convert to fraction form
    653.46/980.19 = 159.87/x
  3. Step 3: Cross multiply
    653.46x = 980.19 × 159.87
  4. Step 4: Simplify right side
    653.46x = 156,702.98
  5. Step 5: Solve for x
    x = 156,702.98/653.46
  6. Step 6: Final answer
    x = 239.81

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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.