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Finding the Fourth Proportional to 283.82, 425.66 and 78.34

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Solution

The fourth proportional to 283.82, 425.66 and 78.34 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 425.66 = 78.34 : x
  2. Step 2: Convert to fraction form
    283.82/425.66 = 78.34/x
  3. Step 3: Cross multiply
    283.82x = 425.66 × 78.34
  4. Step 4: Simplify right side
    283.82x = 33,346.20
  5. Step 5: Solve for x
    x = 33,346.20/283.82
  6. Step 6: Final answer
    x = 117.49

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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.