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Finding the Fourth Proportional to 187.26, 279.67 and 176.73

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Solution

The fourth proportional to 187.26, 279.67 and 176.73 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.26 : 279.67 = 176.73 : x
  2. Step 2: Convert to fraction form
    187.26/279.67 = 176.73/x
  3. Step 3: Cross multiply
    187.26x = 279.67 × 176.73
  4. Step 4: Simplify right side
    187.26x = 49,426.08
  5. Step 5: Solve for x
    x = 49,426.08/187.26
  6. Step 6: Final answer
    x = 263.94

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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.