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Finding the Fourth Proportional to 242.53, 364.14 and 198.73

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Solution

The fourth proportional to 242.53, 364.14 and 198.73 is: 298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.53 : 364.14 = 198.73 : x
  2. Step 2: Convert to fraction form
    242.53/364.14 = 198.73/x
  3. Step 3: Cross multiply
    242.53x = 364.14 × 198.73
  4. Step 4: Simplify right side
    242.53x = 72,366.00
  5. Step 5: Solve for x
    x = 72,366.00/242.53
  6. Step 6: Final answer
    x = 298.38

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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.