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Finding the Fourth Proportional to 247.10, 340.97 and 158.45

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Solution

The fourth proportional to 247.10, 340.97 and 158.45 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.10 : 340.97 = 158.45 : x
  2. Step 2: Convert to fraction form
    247.10/340.97 = 158.45/x
  3. Step 3: Cross multiply
    247.10x = 340.97 × 158.45
  4. Step 4: Simplify right side
    247.10x = 54,024.20
  5. Step 5: Solve for x
    x = 54,024.20/247.10
  6. Step 6: Final answer
    x = 218.64

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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.