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Finding the Fourth Proportional to 465.60, 698.14 and 176.92

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Solution

The fourth proportional to 465.60, 698.14 and 176.92 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 698.14 = 176.92 : x
  2. Step 2: Convert to fraction form
    465.60/698.14 = 176.92/x
  3. Step 3: Cross multiply
    465.60x = 698.14 × 176.92
  4. Step 4: Simplify right side
    465.60x = 123,514.93
  5. Step 5: Solve for x
    x = 123,514.93/465.60
  6. Step 6: Final answer
    x = 265.28

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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.