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Finding the Fourth Proportional to 281.16, 387.12 and 256.88

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Solution

The fourth proportional to 281.16, 387.12 and 256.88 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.16 : 387.12 = 256.88 : x
  2. Step 2: Convert to fraction form
    281.16/387.12 = 256.88/x
  3. Step 3: Cross multiply
    281.16x = 387.12 × 256.88
  4. Step 4: Simplify right side
    281.16x = 99,443.39
  5. Step 5: Solve for x
    x = 99,443.39/281.16
  6. Step 6: Final answer
    x = 353.69

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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.