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Finding the Fourth Proportional to 247.05, 340.95 and 142.14

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Solution

The fourth proportional to 247.05, 340.95 and 142.14 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.05 : 340.95 = 142.14 : x
  2. Step 2: Convert to fraction form
    247.05/340.95 = 142.14/x
  3. Step 3: Cross multiply
    247.05x = 340.95 × 142.14
  4. Step 4: Simplify right side
    247.05x = 48,462.63
  5. Step 5: Solve for x
    x = 48,462.63/247.05
  6. Step 6: Final answer
    x = 196.17

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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.