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Finding the Fourth Proportional to 281.93, 422.51 and 144.69

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Solution

The fourth proportional to 281.93, 422.51 and 144.69 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 422.51 = 144.69 : x
  2. Step 2: Convert to fraction form
    281.93/422.51 = 144.69/x
  3. Step 3: Cross multiply
    281.93x = 422.51 × 144.69
  4. Step 4: Simplify right side
    281.93x = 61,130.86
  5. Step 5: Solve for x
    x = 61,130.86/281.93
  6. Step 6: Final answer
    x = 216.83

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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.