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Finding the Fourth Proportional to 283.76, 425.64 and 78.31

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Solution

The fourth proportional to 283.76, 425.64 and 78.31 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.76 : 425.64 = 78.31 : x
  2. Step 2: Convert to fraction form
    283.76/425.64 = 78.31/x
  3. Step 3: Cross multiply
    283.76x = 425.64 × 78.31
  4. Step 4: Simplify right side
    283.76x = 33,331.87
  5. Step 5: Solve for x
    x = 33,331.87/283.76
  6. Step 6: Final answer
    x = 117.47

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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.