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Finding the Fourth Proportional to 187.09, 258.18 and 108.40

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Solution

The fourth proportional to 187.09, 258.18 and 108.40 is: 149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 258.18 = 108.40 : x
  2. Step 2: Convert to fraction form
    187.09/258.18 = 108.40/x
  3. Step 3: Cross multiply
    187.09x = 258.18 × 108.40
  4. Step 4: Simplify right side
    187.09x = 27,986.71
  5. Step 5: Solve for x
    x = 27,986.71/187.09
  6. Step 6: Final answer
    x = 149.59

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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.