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Finding the Fourth Proportional to 252.50, 376.95 and 213.72

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Solution

The fourth proportional to 252.50, 376.95 and 213.72 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 376.95 = 213.72 : x
  2. Step 2: Convert to fraction form
    252.50/376.95 = 213.72/x
  3. Step 3: Cross multiply
    252.50x = 376.95 × 213.72
  4. Step 4: Simplify right side
    252.50x = 80,560.69
  5. Step 5: Solve for x
    x = 80,560.69/252.50
  6. Step 6: Final answer
    x = 319.06

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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.