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Finding the Fourth Proportional to 281.74, 388.75 and 160.45

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Solution

The fourth proportional to 281.74, 388.75 and 160.45 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.74 : 388.75 = 160.45 : x
  2. Step 2: Convert to fraction form
    281.74/388.75 = 160.45/x
  3. Step 3: Cross multiply
    281.74x = 388.75 × 160.45
  4. Step 4: Simplify right side
    281.74x = 62,374.14
  5. Step 5: Solve for x
    x = 62,374.14/281.74
  6. Step 6: Final answer
    x = 221.39

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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.