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Finding the Fourth Proportional to 175.84, 240.91 and 173.81

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Solution

The fourth proportional to 175.84, 240.91 and 173.81 is: 238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 240.91 = 173.81 : x
  2. Step 2: Convert to fraction form
    175.84/240.91 = 173.81/x
  3. Step 3: Cross multiply
    175.84x = 240.91 × 173.81
  4. Step 4: Simplify right side
    175.84x = 41,872.73
  5. Step 5: Solve for x
    x = 41,872.73/175.84
  6. Step 6: Final answer
    x = 238.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.