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Finding the Fourth Proportional to 426.80, 640.16 and 118.66

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Solution

The fourth proportional to 426.80, 640.16 and 118.66 is: 177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 640.16 = 118.66 : x
  2. Step 2: Convert to fraction form
    426.80/640.16 = 118.66/x
  3. Step 3: Cross multiply
    426.80x = 640.16 × 118.66
  4. Step 4: Simplify right side
    426.80x = 75,959.49
  5. Step 5: Solve for x
    x = 75,959.49/426.80
  6. Step 6: Final answer
    x = 177.98

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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.