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Finding the Fourth Proportional to 247.69, 371.49 and 117.64

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Solution

The fourth proportional to 247.69, 371.49 and 117.64 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 371.49 = 117.64 : x
  2. Step 2: Convert to fraction form
    247.69/371.49 = 117.64/x
  3. Step 3: Cross multiply
    247.69x = 371.49 × 117.64
  4. Step 4: Simplify right side
    247.69x = 43,702.08
  5. Step 5: Solve for x
    x = 43,702.08/247.69
  6. Step 6: Final answer
    x = 176.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.