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Finding the Fourth Proportional to 465.84, 698.67 and 177.21

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Solution

The fourth proportional to 465.84, 698.67 and 177.21 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.67 = 177.21 : x
  2. Step 2: Convert to fraction form
    465.84/698.67 = 177.21/x
  3. Step 3: Cross multiply
    465.84x = 698.67 × 177.21
  4. Step 4: Simplify right side
    465.84x = 123,811.31
  5. Step 5: Solve for x
    x = 123,811.31/465.84
  6. Step 6: Final answer
    x = 265.78

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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.