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Finding the Fourth Proportional to 349.75, 524.63 and 121.75

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Solution

The fourth proportional to 349.75, 524.63 and 121.75 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.75 : 524.63 = 121.75 : x
  2. Step 2: Convert to fraction form
    349.75/524.63 = 121.75/x
  3. Step 3: Cross multiply
    349.75x = 524.63 × 121.75
  4. Step 4: Simplify right side
    349.75x = 63,873.70
  5. Step 5: Solve for x
    x = 63,873.70/349.75
  6. Step 6: Final answer
    x = 182.63

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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.