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Finding the Fourth Proportional to 212.72, 319.08 and 140.57

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Solution

The fourth proportional to 212.72, 319.08 and 140.57 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 319.08 = 140.57 : x
  2. Step 2: Convert to fraction form
    212.72/319.08 = 140.57/x
  3. Step 3: Cross multiply
    212.72x = 319.08 × 140.57
  4. Step 4: Simplify right side
    212.72x = 44,852.01
  5. Step 5: Solve for x
    x = 44,852.01/212.72
  6. Step 6: Final answer
    x = 210.85

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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.