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Finding the Fourth Proportional to 233.84, 322.71 and 154.06

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Solution

The fourth proportional to 233.84, 322.71 and 154.06 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.71 = 154.06 : x
  2. Step 2: Convert to fraction form
    233.84/322.71 = 154.06/x
  3. Step 3: Cross multiply
    233.84x = 322.71 × 154.06
  4. Step 4: Simplify right side
    233.84x = 49,716.70
  5. Step 5: Solve for x
    x = 49,716.70/233.84
  6. Step 6: Final answer
    x = 212.61

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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.