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Finding the Fourth Proportional to 281.46, 387.75 and 265.06

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Solution

The fourth proportional to 281.46, 387.75 and 265.06 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 387.75 = 265.06 : x
  2. Step 2: Convert to fraction form
    281.46/387.75 = 265.06/x
  3. Step 3: Cross multiply
    281.46x = 387.75 × 265.06
  4. Step 4: Simplify right side
    281.46x = 102,777.02
  5. Step 5: Solve for x
    x = 102,777.02/281.46
  6. Step 6: Final answer
    x = 365.16

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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.