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Finding the Fourth Proportional to 243.30, 335.72 and 154.86

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Solution

The fourth proportional to 243.30, 335.72 and 154.86 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 335.72 = 154.86 : x
  2. Step 2: Convert to fraction form
    243.30/335.72 = 154.86/x
  3. Step 3: Cross multiply
    243.30x = 335.72 × 154.86
  4. Step 4: Simplify right side
    243.30x = 51,989.60
  5. Step 5: Solve for x
    x = 51,989.60/243.30
  6. Step 6: Final answer
    x = 213.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.