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Finding the Fourth Proportional to 187.39, 281.54 and 182.83

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Solution

The fourth proportional to 187.39, 281.54 and 182.83 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.39 : 281.54 = 182.83 : x
  2. Step 2: Convert to fraction form
    187.39/281.54 = 182.83/x
  3. Step 3: Cross multiply
    187.39x = 281.54 × 182.83
  4. Step 4: Simplify right side
    187.39x = 51,473.96
  5. Step 5: Solve for x
    x = 51,473.96/187.39
  6. Step 6: Final answer
    x = 274.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.