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Finding the Fourth Proportional to 281.63, 422.52 and 96.55

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Solution

The fourth proportional to 281.63, 422.52 and 96.55 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.63 : 422.52 = 96.55 : x
  2. Step 2: Convert to fraction form
    281.63/422.52 = 96.55/x
  3. Step 3: Cross multiply
    281.63x = 422.52 × 96.55
  4. Step 4: Simplify right side
    281.63x = 40,792.89
  5. Step 5: Solve for x
    x = 40,792.89/281.63
  6. Step 6: Final answer
    x = 144.84

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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.