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Finding the Fourth Proportional to 189.62, 282.99 and 184.76

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Solution

The fourth proportional to 189.62, 282.99 and 184.76 is: 275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.62 : 282.99 = 184.76 : x
  2. Step 2: Convert to fraction form
    189.62/282.99 = 184.76/x
  3. Step 3: Cross multiply
    189.62x = 282.99 × 184.76
  4. Step 4: Simplify right side
    189.62x = 52,285.23
  5. Step 5: Solve for x
    x = 52,285.23/189.62
  6. Step 6: Final answer
    x = 275.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.