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Finding the Fourth Proportional to 465.87, 698.71 and 136.77

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Solution

The fourth proportional to 465.87, 698.71 and 136.77 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.87 : 698.71 = 136.77 : x
  2. Step 2: Convert to fraction form
    465.87/698.71 = 136.77/x
  3. Step 3: Cross multiply
    465.87x = 698.71 × 136.77
  4. Step 4: Simplify right side
    465.87x = 95,562.57
  5. Step 5: Solve for x
    x = 95,562.57/465.87
  6. Step 6: Final answer
    x = 205.13

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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.