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Finding the Fourth Proportional to 187.57, 258.94 and 117.66

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Solution

The fourth proportional to 187.57, 258.94 and 117.66 is: 162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 258.94 = 117.66 : x
  2. Step 2: Convert to fraction form
    187.57/258.94 = 117.66/x
  3. Step 3: Cross multiply
    187.57x = 258.94 × 117.66
  4. Step 4: Simplify right side
    187.57x = 30,466.88
  5. Step 5: Solve for x
    x = 30,466.88/187.57
  6. Step 6: Final answer
    x = 162.43

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