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Finding the Fourth Proportional to 187.23, 280.47 and 125.37

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Solution

The fourth proportional to 187.23, 280.47 and 125.37 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.23 : 280.47 = 125.37 : x
  2. Step 2: Convert to fraction form
    187.23/280.47 = 125.37/x
  3. Step 3: Cross multiply
    187.23x = 280.47 × 125.37
  4. Step 4: Simplify right side
    187.23x = 35,162.52
  5. Step 5: Solve for x
    x = 35,162.52/187.23
  6. Step 6: Final answer
    x = 187.80

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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.