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Finding the Fourth Proportional to 189.55, 286.07 and 184.69

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Solution

The fourth proportional to 189.55, 286.07 and 184.69 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.55 : 286.07 = 184.69 : x
  2. Step 2: Convert to fraction form
    189.55/286.07 = 184.69/x
  3. Step 3: Cross multiply
    189.55x = 286.07 × 184.69
  4. Step 4: Simplify right side
    189.55x = 52,834.27
  5. Step 5: Solve for x
    x = 52,834.27/189.55
  6. Step 6: Final answer
    x = 278.74

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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.