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Finding the Fourth Proportional to 283.71, 392.01 and 218.78

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Solution

The fourth proportional to 283.71, 392.01 and 218.78 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.71 : 392.01 = 218.78 : x
  2. Step 2: Convert to fraction form
    283.71/392.01 = 218.78/x
  3. Step 3: Cross multiply
    283.71x = 392.01 × 218.78
  4. Step 4: Simplify right side
    283.71x = 85,761.99
  5. Step 5: Solve for x
    x = 85,761.99/283.71
  6. Step 6: Final answer
    x = 302.29

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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.