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Finding the Fourth Proportional to 243.83, 336.20 and 216.15

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Solution

The fourth proportional to 243.83, 336.20 and 216.15 is: 298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.83 : 336.20 = 216.15 : x
  2. Step 2: Convert to fraction form
    243.83/336.20 = 216.15/x
  3. Step 3: Cross multiply
    243.83x = 336.20 × 216.15
  4. Step 4: Simplify right side
    243.83x = 72,668.55
  5. Step 5: Solve for x
    x = 72,668.55/243.83
  6. Step 6: Final answer
    x = 298.04

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Why These Related Problems?

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