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Finding the Fourth Proportional to 349.94, 524.97 and 167.19

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Solution

The fourth proportional to 349.94, 524.97 and 167.19 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 524.97 = 167.19 : x
  2. Step 2: Convert to fraction form
    349.94/524.97 = 167.19/x
  3. Step 3: Cross multiply
    349.94x = 524.97 × 167.19
  4. Step 4: Simplify right side
    349.94x = 87,767.14
  5. Step 5: Solve for x
    x = 87,767.14/349.94
  6. Step 6: Final answer
    x = 250.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.