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Finding the Fourth Proportional to 309.71, 426.66 and 216.29

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Solution

The fourth proportional to 309.71, 426.66 and 216.29 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 426.66 = 216.29 : x
  2. Step 2: Convert to fraction form
    309.71/426.66 = 216.29/x
  3. Step 3: Cross multiply
    309.71x = 426.66 × 216.29
  4. Step 4: Simplify right side
    309.71x = 92,280.16
  5. Step 5: Solve for x
    x = 92,280.16/309.71
  6. Step 6: Final answer
    x = 297.96

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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.