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Finding the Fourth Proportional to 251.84, 347.76 and 158.75

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Solution

The fourth proportional to 251.84, 347.76 and 158.75 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 347.76 = 158.75 : x
  2. Step 2: Convert to fraction form
    251.84/347.76 = 158.75/x
  3. Step 3: Cross multiply
    251.84x = 347.76 × 158.75
  4. Step 4: Simplify right side
    251.84x = 55,205.16
  5. Step 5: Solve for x
    x = 55,205.16/251.84
  6. Step 6: Final answer
    x = 219.21

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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.