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Finding the Fourth Proportional to 311.16, 429.48 and 207.84

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Solution

The fourth proportional to 311.16, 429.48 and 207.84 is: 286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 429.48 = 207.84 : x
  2. Step 2: Convert to fraction form
    311.16/429.48 = 207.84/x
  3. Step 3: Cross multiply
    311.16x = 429.48 × 207.84
  4. Step 4: Simplify right side
    311.16x = 89,263.12
  5. Step 5: Solve for x
    x = 89,263.12/311.16
  6. Step 6: Final answer
    x = 286.87

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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.