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Finding the Fourth Proportional to 287.62, 396.78 and 177.10

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Solution

The fourth proportional to 287.62, 396.78 and 177.10 is: 244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.62 : 396.78 = 177.10 : x
  2. Step 2: Convert to fraction form
    287.62/396.78 = 177.10/x
  3. Step 3: Cross multiply
    287.62x = 396.78 × 177.10
  4. Step 4: Simplify right side
    287.62x = 70,269.74
  5. Step 5: Solve for x
    x = 70,269.74/287.62
  6. Step 6: Final answer
    x = 244.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.