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Finding the Fourth Proportional to 247.80, 341.88 and 144.24

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Solution

The fourth proportional to 247.80, 341.88 and 144.24 is: 199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 341.88 = 144.24 : x
  2. Step 2: Convert to fraction form
    247.80/341.88 = 144.24/x
  3. Step 3: Cross multiply
    247.80x = 341.88 × 144.24
  4. Step 4: Simplify right side
    247.80x = 49,312.77
  5. Step 5: Solve for x
    x = 49,312.77/247.80
  6. Step 6: Final answer
    x = 199.00

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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.