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Finding the Fourth Proportional to 465.34, 698.12 and 176.78

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Solution

The fourth proportional to 465.34, 698.12 and 176.78 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 698.12 = 176.78 : x
  2. Step 2: Convert to fraction form
    465.34/698.12 = 176.78/x
  3. Step 3: Cross multiply
    465.34x = 698.12 × 176.78
  4. Step 4: Simplify right side
    465.34x = 123,413.65
  5. Step 5: Solve for x
    x = 123,413.65/465.34
  6. Step 6: Final answer
    x = 265.21

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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.