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Finding the Fourth Proportional to 189.72, 286.74 and 187.56

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Solution

The fourth proportional to 189.72, 286.74 and 187.56 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.72 : 286.74 = 187.56 : x
  2. Step 2: Convert to fraction form
    189.72/286.74 = 187.56/x
  3. Step 3: Cross multiply
    189.72x = 286.74 × 187.56
  4. Step 4: Simplify right side
    189.72x = 53,780.95
  5. Step 5: Solve for x
    x = 53,780.95/189.72
  6. Step 6: Final answer
    x = 283.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.