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Finding the Fourth Proportional to 295.52, 443.24 and 124.56

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Solution

The fourth proportional to 295.52, 443.24 and 124.56 is: 186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 443.24 = 124.56 : x
  2. Step 2: Convert to fraction form
    295.52/443.24 = 124.56/x
  3. Step 3: Cross multiply
    295.52x = 443.24 × 124.56
  4. Step 4: Simplify right side
    295.52x = 55,209.97
  5. Step 5: Solve for x
    x = 55,209.97/295.52
  6. Step 6: Final answer
    x = 186.82

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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.