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Finding the Fourth Proportional to 281.93, 422.84 and 76.47

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Solution

The fourth proportional to 281.93, 422.84 and 76.47 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 422.84 = 76.47 : x
  2. Step 2: Convert to fraction form
    281.93/422.84 = 76.47/x
  3. Step 3: Cross multiply
    281.93x = 422.84 × 76.47
  4. Step 4: Simplify right side
    281.93x = 32,332.89
  5. Step 5: Solve for x
    x = 32,332.89/281.93
  6. Step 6: Final answer
    x = 114.69

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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.