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Finding the Fourth Proportional to 242.24, 334.56 and 198.80

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Solution

The fourth proportional to 242.24, 334.56 and 198.80 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.24 : 334.56 = 198.80 : x
  2. Step 2: Convert to fraction form
    242.24/334.56 = 198.80/x
  3. Step 3: Cross multiply
    242.24x = 334.56 × 198.80
  4. Step 4: Simplify right side
    242.24x = 66,510.53
  5. Step 5: Solve for x
    x = 66,510.53/242.24
  6. Step 6: Final answer
    x = 274.56

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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.