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Finding the Fourth Proportional to 295.92, 444.24 and 187.38

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Solution

The fourth proportional to 295.92, 444.24 and 187.38 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 444.24 = 187.38 : x
  2. Step 2: Convert to fraction form
    295.92/444.24 = 187.38/x
  3. Step 3: Cross multiply
    295.92x = 444.24 × 187.38
  4. Step 4: Simplify right side
    295.92x = 83,241.69
  5. Step 5: Solve for x
    x = 83,241.69/295.92
  6. Step 6: Final answer
    x = 281.30

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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.