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Finding the Fourth Proportional to 287.74, 397.08 and 182.82

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Solution

The fourth proportional to 287.74, 397.08 and 182.82 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 397.08 = 182.82 : x
  2. Step 2: Convert to fraction form
    287.74/397.08 = 182.82/x
  3. Step 3: Cross multiply
    287.74x = 397.08 × 182.82
  4. Step 4: Simplify right side
    287.74x = 72,594.17
  5. Step 5: Solve for x
    x = 72,594.17/287.74
  6. Step 6: Final answer
    x = 252.29

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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.