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Finding the Fourth Proportional to 281.10, 387.72 and 164.69

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Solution

The fourth proportional to 281.10, 387.72 and 164.69 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.10 : 387.72 = 164.69 : x
  2. Step 2: Convert to fraction form
    281.10/387.72 = 164.69/x
  3. Step 3: Cross multiply
    281.10x = 387.72 × 164.69
  4. Step 4: Simplify right side
    281.10x = 63,851.67
  5. Step 5: Solve for x
    x = 63,851.67/281.10
  6. Step 6: Final answer
    x = 227.15

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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.