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Finding the Fourth Proportional to 187.11, 258.26 and 120.76

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Solution

The fourth proportional to 187.11, 258.26 and 120.76 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 258.26 = 120.76 : x
  2. Step 2: Convert to fraction form
    187.11/258.26 = 120.76/x
  3. Step 3: Cross multiply
    187.11x = 258.26 × 120.76
  4. Step 4: Simplify right side
    187.11x = 31,186.23
  5. Step 5: Solve for x
    x = 31,186.23/187.11
  6. Step 6: Final answer
    x = 166.67

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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.