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Finding the Fourth Proportional to 243.30, 365.11 and 197.74

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Solution

The fourth proportional to 243.30, 365.11 and 197.74 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 365.11 = 197.74 : x
  2. Step 2: Convert to fraction form
    243.30/365.11 = 197.74/x
  3. Step 3: Cross multiply
    243.30x = 365.11 × 197.74
  4. Step 4: Simplify right side
    243.30x = 72,196.81
  5. Step 5: Solve for x
    x = 72,196.81/243.30
  6. Step 6: Final answer
    x = 296.74

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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.