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Finding the Fourth Proportional to 281.07, 387.98 and 207.97

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Solution

The fourth proportional to 281.07, 387.98 and 207.97 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 387.98 = 207.97 : x
  2. Step 2: Convert to fraction form
    281.07/387.98 = 207.97/x
  3. Step 3: Cross multiply
    281.07x = 387.98 × 207.97
  4. Step 4: Simplify right side
    281.07x = 80,688.20
  5. Step 5: Solve for x
    x = 80,688.20/281.07
  6. Step 6: Final answer
    x = 287.08

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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.