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Finding the Fourth Proportional to 362.19, 542.52 and 179.46

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Solution

The fourth proportional to 362.19, 542.52 and 179.46 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 542.52 = 179.46 : x
  2. Step 2: Convert to fraction form
    362.19/542.52 = 179.46/x
  3. Step 3: Cross multiply
    362.19x = 542.52 × 179.46
  4. Step 4: Simplify right side
    362.19x = 97,360.64
  5. Step 5: Solve for x
    x = 97,360.64/362.19
  6. Step 6: Final answer
    x = 268.81

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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.