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Finding the Fourth Proportional to 362.29, 542.96 and 145.65

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Solution

The fourth proportional to 362.29, 542.96 and 145.65 is: 218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 542.96 = 145.65 : x
  2. Step 2: Convert to fraction form
    362.29/542.96 = 145.65/x
  3. Step 3: Cross multiply
    362.29x = 542.96 × 145.65
  4. Step 4: Simplify right side
    362.29x = 79,081.40
  5. Step 5: Solve for x
    x = 79,081.40/362.29
  6. Step 6: Final answer
    x = 218.28

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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.