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Finding the Fourth Proportional to 230.38, 344.14 and 184.82

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Solution

The fourth proportional to 230.38, 344.14 and 184.82 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.38 : 344.14 = 184.82 : x
  2. Step 2: Convert to fraction form
    230.38/344.14 = 184.82/x
  3. Step 3: Cross multiply
    230.38x = 344.14 × 184.82
  4. Step 4: Simplify right side
    230.38x = 63,602.29
  5. Step 5: Solve for x
    x = 63,602.29/230.38
  6. Step 6: Final answer
    x = 276.08

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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.