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Finding the Fourth Proportional to 281.95, 422.62 and 184.14

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Solution

The fourth proportional to 281.95, 422.62 and 184.14 is: 276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.95 : 422.62 = 184.14 : x
  2. Step 2: Convert to fraction form
    281.95/422.62 = 184.14/x
  3. Step 3: Cross multiply
    281.95x = 422.62 × 184.14
  4. Step 4: Simplify right side
    281.95x = 77,820.79
  5. Step 5: Solve for x
    x = 77,820.79/281.95
  6. Step 6: Final answer
    x = 276.01

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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.