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Finding the Fourth Proportional to 233.84, 322.41 and 178.49

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Solution

The fourth proportional to 233.84, 322.41 and 178.49 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.41 = 178.49 : x
  2. Step 2: Convert to fraction form
    233.84/322.41 = 178.49/x
  3. Step 3: Cross multiply
    233.84x = 322.41 × 178.49
  4. Step 4: Simplify right side
    233.84x = 57,546.96
  5. Step 5: Solve for x
    x = 57,546.96/233.84
  6. Step 6: Final answer
    x = 246.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.