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Finding the Fourth Proportional to 187, 280.50 and 123.04

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Solution

The fourth proportional to 187, 280.50 and 123.04 is: 184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 280.50 = 123.04 : x
  2. Step 2: Convert to fraction form
    187/280.50 = 123.04/x
  3. Step 3: Cross multiply
    187x = 280.50 × 123.04
  4. Step 4: Simplify right side
    187x = 34,512.72
  5. Step 5: Solve for x
    x = 34,512.72/187
  6. Step 6: Final answer
    x = 184.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.