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Finding the Fourth Proportional to 281.24, 388.10 and 170.76

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Solution

The fourth proportional to 281.24, 388.10 and 170.76 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 388.10 = 170.76 : x
  2. Step 2: Convert to fraction form
    281.24/388.10 = 170.76/x
  3. Step 3: Cross multiply
    281.24x = 388.10 × 170.76
  4. Step 4: Simplify right side
    281.24x = 66,271.96
  5. Step 5: Solve for x
    x = 66,271.96/281.24
  6. Step 6: Final answer
    x = 235.64

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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.