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Finding the Fourth Proportional to 362.24, 543.06 and 142.80

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Solution

The fourth proportional to 362.24, 543.06 and 142.80 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 543.06 = 142.80 : x
  2. Step 2: Convert to fraction form
    362.24/543.06 = 142.80/x
  3. Step 3: Cross multiply
    362.24x = 543.06 × 142.80
  4. Step 4: Simplify right side
    362.24x = 77,548.97
  5. Step 5: Solve for x
    x = 77,548.97/362.24
  6. Step 6: Final answer
    x = 214.08

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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.