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Finding the Fourth Proportional to 187.21, 258.34 and 108.54

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Solution

The fourth proportional to 187.21, 258.34 and 108.54 is: 149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.21 : 258.34 = 108.54 : x
  2. Step 2: Convert to fraction form
    187.21/258.34 = 108.54/x
  3. Step 3: Cross multiply
    187.21x = 258.34 × 108.54
  4. Step 4: Simplify right side
    187.21x = 28,038.66
  5. Step 5: Solve for x
    x = 28,038.66/187.21
  6. Step 6: Final answer
    x = 149.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.