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Finding the Fourth Proportional to 281.60, 388.49 and 171.07

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Solution

The fourth proportional to 281.60, 388.49 and 171.07 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 388.49 = 171.07 : x
  2. Step 2: Convert to fraction form
    281.60/388.49 = 171.07/x
  3. Step 3: Cross multiply
    281.60x = 388.49 × 171.07
  4. Step 4: Simplify right side
    281.60x = 66,456.19
  5. Step 5: Solve for x
    x = 66,456.19/281.60
  6. Step 6: Final answer
    x = 236.00

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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.