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Finding the Fourth Proportional to 316.16, 435.77 and 249.65

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Solution

The fourth proportional to 316.16, 435.77 and 249.65 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 435.77 = 249.65 : x
  2. Step 2: Convert to fraction form
    316.16/435.77 = 249.65/x
  3. Step 3: Cross multiply
    316.16x = 435.77 × 249.65
  4. Step 4: Simplify right side
    316.16x = 108,787.80
  5. Step 5: Solve for x
    x = 108,787.80/316.16
  6. Step 6: Final answer
    x = 344.10

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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.