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Finding the Fourth Proportional to 187.45, 258.65 and 104.54

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Solution

The fourth proportional to 187.45, 258.65 and 104.54 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 258.65 = 104.54 : x
  2. Step 2: Convert to fraction form
    187.45/258.65 = 104.54/x
  3. Step 3: Cross multiply
    187.45x = 258.65 × 104.54
  4. Step 4: Simplify right side
    187.45x = 27,039.39
  5. Step 5: Solve for x
    x = 27,039.39/187.45
  6. Step 6: Final answer
    x = 144.25

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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.