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Finding the Fourth Proportional to 243.91, 366.19 and 152.31

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Solution

The fourth proportional to 243.91, 366.19 and 152.31 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.91 : 366.19 = 152.31 : x
  2. Step 2: Convert to fraction form
    243.91/366.19 = 152.31/x
  3. Step 3: Cross multiply
    243.91x = 366.19 × 152.31
  4. Step 4: Simplify right side
    243.91x = 55,774.02
  5. Step 5: Solve for x
    x = 55,774.02/243.91
  6. Step 6: Final answer
    x = 228.67

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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.