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Finding the Fourth Proportional to 187.75, 280.23 and 184.71

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Solution

The fourth proportional to 187.75, 280.23 and 184.71 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 280.23 = 184.71 : x
  2. Step 2: Convert to fraction form
    187.75/280.23 = 184.71/x
  3. Step 3: Cross multiply
    187.75x = 280.23 × 184.71
  4. Step 4: Simplify right side
    187.75x = 51,761.64
  5. Step 5: Solve for x
    x = 51,761.64/187.75
  6. Step 6: Final answer
    x = 275.69

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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.