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Finding the Fourth Proportional to 465.54, 698.23 and 176.91

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Solution

The fourth proportional to 465.54, 698.23 and 176.91 is: 265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 698.23 = 176.91 : x
  2. Step 2: Convert to fraction form
    465.54/698.23 = 176.91/x
  3. Step 3: Cross multiply
    465.54x = 698.23 × 176.91
  4. Step 4: Simplify right side
    465.54x = 123,523.87
  5. Step 5: Solve for x
    x = 123,523.87/465.54
  6. Step 6: Final answer
    x = 265.33

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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.