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Finding the Fourth Proportional to 283.24, 390.85 and 158.91

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Solution

The fourth proportional to 283.24, 390.85 and 158.91 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 390.85 = 158.91 : x
  2. Step 2: Convert to fraction form
    283.24/390.85 = 158.91/x
  3. Step 3: Cross multiply
    283.24x = 390.85 × 158.91
  4. Step 4: Simplify right side
    283.24x = 62,108.42
  5. Step 5: Solve for x
    x = 62,108.42/283.24
  6. Step 6: Final answer
    x = 219.28

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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.