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Finding the Fourth Proportional to 251.84, 375.41 and 238.16

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Solution

The fourth proportional to 251.84, 375.41 and 238.16 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 375.41 = 238.16 : x
  2. Step 2: Convert to fraction form
    251.84/375.41 = 238.16/x
  3. Step 3: Cross multiply
    251.84x = 375.41 × 238.16
  4. Step 4: Simplify right side
    251.84x = 89,408.24
  5. Step 5: Solve for x
    x = 89,408.24/251.84
  6. Step 6: Final answer
    x = 355.02

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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.