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Finding the Fourth Proportional to 247.80, 341.94 and 142.89

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Solution

The fourth proportional to 247.80, 341.94 and 142.89 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 341.94 = 142.89 : x
  2. Step 2: Convert to fraction form
    247.80/341.94 = 142.89/x
  3. Step 3: Cross multiply
    247.80x = 341.94 × 142.89
  4. Step 4: Simplify right side
    247.80x = 48,859.22
  5. Step 5: Solve for x
    x = 48,859.22/247.80
  6. Step 6: Final answer
    x = 197.17

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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.