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Finding the Fourth Proportional to 243.96, 366.50 and 152.72

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Solution

The fourth proportional to 243.96, 366.50 and 152.72 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.96 : 366.50 = 152.72 : x
  2. Step 2: Convert to fraction form
    243.96/366.50 = 152.72/x
  3. Step 3: Cross multiply
    243.96x = 366.50 × 152.72
  4. Step 4: Simplify right side
    243.96x = 55,971.88
  5. Step 5: Solve for x
    x = 55,971.88/243.96
  6. Step 6: Final answer
    x = 229.43

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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.