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Finding the Fourth Proportional to 283.91, 392.18 and 219.23

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Solution

The fourth proportional to 283.91, 392.18 and 219.23 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.91 : 392.18 = 219.23 : x
  2. Step 2: Convert to fraction form
    283.91/392.18 = 219.23/x
  3. Step 3: Cross multiply
    283.91x = 392.18 × 219.23
  4. Step 4: Simplify right side
    283.91x = 85,976.21
  5. Step 5: Solve for x
    x = 85,976.21/283.91
  6. Step 6: Final answer
    x = 302.83

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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.