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Finding the Fourth Proportional to 184.38, 275.81 and 155.22

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Solution

The fourth proportional to 184.38, 275.81 and 155.22 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.38 : 275.81 = 155.22 : x
  2. Step 2: Convert to fraction form
    184.38/275.81 = 155.22/x
  3. Step 3: Cross multiply
    184.38x = 275.81 × 155.22
  4. Step 4: Simplify right side
    184.38x = 42,809.42
  5. Step 5: Solve for x
    x = 42,809.42/184.38
  6. Step 6: Final answer
    x = 232.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.