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Finding the Fourth Proportional to 213.60, 318.84 and 197.76

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Solution

The fourth proportional to 213.60, 318.84 and 197.76 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 318.84 = 197.76 : x
  2. Step 2: Convert to fraction form
    213.60/318.84 = 197.76/x
  3. Step 3: Cross multiply
    213.60x = 318.84 × 197.76
  4. Step 4: Simplify right side
    213.60x = 63,053.80
  5. Step 5: Solve for x
    x = 63,053.80/213.60
  6. Step 6: Final answer
    x = 295.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.