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Finding the Fourth Proportional to 232.84, 347.99 and 184.24

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Solution

The fourth proportional to 232.84, 347.99 and 184.24 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 347.99 = 184.24 : x
  2. Step 2: Convert to fraction form
    232.84/347.99 = 184.24/x
  3. Step 3: Cross multiply
    232.84x = 347.99 × 184.24
  4. Step 4: Simplify right side
    232.84x = 64,113.68
  5. Step 5: Solve for x
    x = 64,113.68/232.84
  6. Step 6: Final answer
    x = 275.36

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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.