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Finding the Fourth Proportional to 187.74, 258.90 and 117.78

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Solution

The fourth proportional to 187.74, 258.90 and 117.78 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 258.90 = 117.78 : x
  2. Step 2: Convert to fraction form
    187.74/258.90 = 117.78/x
  3. Step 3: Cross multiply
    187.74x = 258.90 × 117.78
  4. Step 4: Simplify right side
    187.74x = 30,493.24
  5. Step 5: Solve for x
    x = 30,493.24/187.74
  6. Step 6: Final answer
    x = 162.42

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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.