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Finding the Fourth Proportional to 283.47, 425.14 and 107.75

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Solution

The fourth proportional to 283.47, 425.14 and 107.75 is: 161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.47 : 425.14 = 107.75 : x
  2. Step 2: Convert to fraction form
    283.47/425.14 = 107.75/x
  3. Step 3: Cross multiply
    283.47x = 425.14 × 107.75
  4. Step 4: Simplify right side
    283.47x = 45,808.84
  5. Step 5: Solve for x
    x = 45,808.84/283.47
  6. Step 6: Final answer
    x = 161.60

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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.