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Finding the Fourth Proportional to 281.47, 421.89 and 178.80

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Solution

The fourth proportional to 281.47, 421.89 and 178.80 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.47 : 421.89 = 178.80 : x
  2. Step 2: Convert to fraction form
    281.47/421.89 = 178.80/x
  3. Step 3: Cross multiply
    281.47x = 421.89 × 178.80
  4. Step 4: Simplify right side
    281.47x = 75,431.82
  5. Step 5: Solve for x
    x = 75,431.82/281.47
  6. Step 6: Final answer
    x = 268.00

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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.