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Finding the Fourth Proportional to 189.67, 263.14 and 187.87

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Solution

The fourth proportional to 189.67, 263.14 and 187.87 is: 260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.67 : 263.14 = 187.87 : x
  2. Step 2: Convert to fraction form
    189.67/263.14 = 187.87/x
  3. Step 3: Cross multiply
    189.67x = 263.14 × 187.87
  4. Step 4: Simplify right side
    189.67x = 49,436.11
  5. Step 5: Solve for x
    x = 49,436.11/189.67
  6. Step 6: Final answer
    x = 260.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.