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Finding the Fourth Proportional to 287.39, 396.42 and 176.83

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Solution

The fourth proportional to 287.39, 396.42 and 176.83 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.39 : 396.42 = 176.83 : x
  2. Step 2: Convert to fraction form
    287.39/396.42 = 176.83/x
  3. Step 3: Cross multiply
    287.39x = 396.42 × 176.83
  4. Step 4: Simplify right side
    287.39x = 70,098.95
  5. Step 5: Solve for x
    x = 70,098.95/287.39
  6. Step 6: Final answer
    x = 243.92

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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.