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Finding the Fourth Proportional to 283.84, 425.71 and 101.23

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Solution

The fourth proportional to 283.84, 425.71 and 101.23 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 425.71 = 101.23 : x
  2. Step 2: Convert to fraction form
    283.84/425.71 = 101.23/x
  3. Step 3: Cross multiply
    283.84x = 425.71 × 101.23
  4. Step 4: Simplify right side
    283.84x = 43,094.62
  5. Step 5: Solve for x
    x = 43,094.62/283.84
  6. Step 6: Final answer
    x = 151.83

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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.