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Finding the Fourth Proportional to 247.50, 341.57 and 144.02

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Solution

The fourth proportional to 247.50, 341.57 and 144.02 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.50 : 341.57 = 144.02 : x
  2. Step 2: Convert to fraction form
    247.50/341.57 = 144.02/x
  3. Step 3: Cross multiply
    247.50x = 341.57 × 144.02
  4. Step 4: Simplify right side
    247.50x = 49,192.91
  5. Step 5: Solve for x
    x = 49,192.91/247.50
  6. Step 6: Final answer
    x = 198.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.