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Finding the Fourth Proportional to 287.48, 396.78 and 177.02

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Solution

The fourth proportional to 287.48, 396.78 and 177.02 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 396.78 = 177.02 : x
  2. Step 2: Convert to fraction form
    287.48/396.78 = 177.02/x
  3. Step 3: Cross multiply
    287.48x = 396.78 × 177.02
  4. Step 4: Simplify right side
    287.48x = 70,236.01
  5. Step 5: Solve for x
    x = 70,236.01/287.48
  6. Step 6: Final answer
    x = 244.32

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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.