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Finding the Fourth Proportional to 187.75, 280.43 and 178.03

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Solution

The fourth proportional to 187.75, 280.43 and 178.03 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 280.43 = 178.03 : x
  2. Step 2: Convert to fraction form
    187.75/280.43 = 178.03/x
  3. Step 3: Cross multiply
    187.75x = 280.43 × 178.03
  4. Step 4: Simplify right side
    187.75x = 49,924.95
  5. Step 5: Solve for x
    x = 49,924.95/187.75
  6. Step 6: Final answer
    x = 265.91

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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.