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Finding the Fourth Proportional to 187.87, 279.81 and 178.11

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Solution

The fourth proportional to 187.87, 279.81 and 178.11 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.87 : 279.81 = 178.11 : x
  2. Step 2: Convert to fraction form
    187.87/279.81 = 178.11/x
  3. Step 3: Cross multiply
    187.87x = 279.81 × 178.11
  4. Step 4: Simplify right side
    187.87x = 49,836.96
  5. Step 5: Solve for x
    x = 49,836.96/187.87
  6. Step 6: Final answer
    x = 265.28

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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.