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Finding the Fourth Proportional to 318.84, 439.96 and 200.77

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Solution

The fourth proportional to 318.84, 439.96 and 200.77 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.84 : 439.96 = 200.77 : x
  2. Step 2: Convert to fraction form
    318.84/439.96 = 200.77/x
  3. Step 3: Cross multiply
    318.84x = 439.96 × 200.77
  4. Step 4: Simplify right side
    318.84x = 88,330.77
  5. Step 5: Solve for x
    x = 88,330.77/318.84
  6. Step 6: Final answer
    x = 277.04

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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.