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Finding the Fourth Proportional to 187.62, 258.78 and 117.66

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Solution

The fourth proportional to 187.62, 258.78 and 117.66 is: 162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.62 : 258.78 = 117.66 : x
  2. Step 2: Convert to fraction form
    187.62/258.78 = 117.66/x
  3. Step 3: Cross multiply
    187.62x = 258.78 × 117.66
  4. Step 4: Simplify right side
    187.62x = 30,448.05
  5. Step 5: Solve for x
    x = 30,448.05/187.62
  6. Step 6: Final answer
    x = 162.29

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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.