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Finding the Fourth Proportional to 281.00, 387.69 and 164.50

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Solution

The fourth proportional to 281.00, 387.69 and 164.50 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.00 : 387.69 = 164.50 : x
  2. Step 2: Convert to fraction form
    281.00/387.69 = 164.50/x
  3. Step 3: Cross multiply
    281.00x = 387.69 × 164.50
  4. Step 4: Simplify right side
    281.00x = 63,773.42
  5. Step 5: Solve for x
    x = 63,773.42/281.00
  6. Step 6: Final answer
    x = 226.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.