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Finding the Fourth Proportional to 362.26, 542.71 and 179.29

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Solution

The fourth proportional to 362.26, 542.71 and 179.29 is: 268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 542.71 = 179.29 : x
  2. Step 2: Convert to fraction form
    362.26/542.71 = 179.29/x
  3. Step 3: Cross multiply
    362.26x = 542.71 × 179.29
  4. Step 4: Simplify right side
    362.26x = 97,302.48
  5. Step 5: Solve for x
    x = 97,302.48/362.26
  6. Step 6: Final answer
    x = 268.60

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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.