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Finding the Fourth Proportional to 189.43, 282.74 and 187.38

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Solution

The fourth proportional to 189.43, 282.74 and 187.38 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.43 : 282.74 = 187.38 : x
  2. Step 2: Convert to fraction form
    189.43/282.74 = 187.38/x
  3. Step 3: Cross multiply
    189.43x = 282.74 × 187.38
  4. Step 4: Simplify right side
    189.43x = 52,979.82
  5. Step 5: Solve for x
    x = 52,979.82/189.43
  6. Step 6: Final answer
    x = 279.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.