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Finding the Fourth Proportional to 283.77, 426.42 and 153.87

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Solution

The fourth proportional to 283.77, 426.42 and 153.87 is: 231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.77 : 426.42 = 153.87 : x
  2. Step 2: Convert to fraction form
    283.77/426.42 = 153.87/x
  3. Step 3: Cross multiply
    283.77x = 426.42 × 153.87
  4. Step 4: Simplify right side
    283.77x = 65,613.25
  5. Step 5: Solve for x
    x = 65,613.25/283.77
  6. Step 6: Final answer
    x = 231.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.