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Finding the Fourth Proportional to 281.24, 421.76 and 118.88

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Solution

The fourth proportional to 281.24, 421.76 and 118.88 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 421.76 = 118.88 : x
  2. Step 2: Convert to fraction form
    281.24/421.76 = 118.88/x
  3. Step 3: Cross multiply
    281.24x = 421.76 × 118.88
  4. Step 4: Simplify right side
    281.24x = 50,138.83
  5. Step 5: Solve for x
    x = 50,138.83/281.24
  6. Step 6: Final answer
    x = 178.28

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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.