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Finding the Fourth Proportional to 269.35, 370.47 and 216.78

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Solution

The fourth proportional to 269.35, 370.47 and 216.78 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.35 : 370.47 = 216.78 : x
  2. Step 2: Convert to fraction form
    269.35/370.47 = 216.78/x
  3. Step 3: Cross multiply
    269.35x = 370.47 × 216.78
  4. Step 4: Simplify right side
    269.35x = 80,308.08
  5. Step 5: Solve for x
    x = 80,308.08/269.35
  6. Step 6: Final answer
    x = 298.15

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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.