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Finding the Fourth Proportional to 310.61, 427.90 and 217.18

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Solution

The fourth proportional to 310.61, 427.90 and 217.18 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.61 : 427.90 = 217.18 : x
  2. Step 2: Convert to fraction form
    310.61/427.90 = 217.18/x
  3. Step 3: Cross multiply
    310.61x = 427.90 × 217.18
  4. Step 4: Simplify right side
    310.61x = 92,929.71
  5. Step 5: Solve for x
    x = 92,929.71/310.61
  6. Step 6: Final answer
    x = 299.19

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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.