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Finding the Fourth Proportional to 322.68, 484.25 and 176.72

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Solution

The fourth proportional to 322.68, 484.25 and 176.72 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 484.25 = 176.72 : x
  2. Step 2: Convert to fraction form
    322.68/484.25 = 176.72/x
  3. Step 3: Cross multiply
    322.68x = 484.25 × 176.72
  4. Step 4: Simplify right side
    322.68x = 85,573.36
  5. Step 5: Solve for x
    x = 85,573.36/322.68
  6. Step 6: Final answer
    x = 265.19

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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.