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Finding the Fourth Proportional to 281.15, 388.01 and 170.64

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Solution

The fourth proportional to 281.15, 388.01 and 170.64 is: 235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.15 : 388.01 = 170.64 : x
  2. Step 2: Convert to fraction form
    281.15/388.01 = 170.64/x
  3. Step 3: Cross multiply
    281.15x = 388.01 × 170.64
  4. Step 4: Simplify right side
    281.15x = 66,210.03
  5. Step 5: Solve for x
    x = 66,210.03/281.15
  6. Step 6: Final answer
    x = 235.50

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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.