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Finding the Fourth Proportional to 281.53, 388.56 and 207.76

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Solution

The fourth proportional to 281.53, 388.56 and 207.76 is: 286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 388.56 = 207.76 : x
  2. Step 2: Convert to fraction form
    281.53/388.56 = 207.76/x
  3. Step 3: Cross multiply
    281.53x = 388.56 × 207.76
  4. Step 4: Simplify right side
    281.53x = 80,725.28
  5. Step 5: Solve for x
    x = 80,725.28/281.53
  6. Step 6: Final answer
    x = 286.74

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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.