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Finding the Fourth Proportional to 281.60, 387.92 and 265.44

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Solution

The fourth proportional to 281.60, 387.92 and 265.44 is: 365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 387.92 = 265.44 : x
  2. Step 2: Convert to fraction form
    281.60/387.92 = 265.44/x
  3. Step 3: Cross multiply
    281.60x = 387.92 × 265.44
  4. Step 4: Simplify right side
    281.60x = 102,969.48
  5. Step 5: Solve for x
    x = 102,969.48/281.60
  6. Step 6: Final answer
    x = 365.66

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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.