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Finding the Fourth Proportional to 212.96, 319.70 and 202.19

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Solution

The fourth proportional to 212.96, 319.70 and 202.19 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.70 = 202.19 : x
  2. Step 2: Convert to fraction form
    212.96/319.70 = 202.19/x
  3. Step 3: Cross multiply
    212.96x = 319.70 × 202.19
  4. Step 4: Simplify right side
    212.96x = 64,639.93
  5. Step 5: Solve for x
    x = 64,639.93/212.96
  6. Step 6: Final answer
    x = 303.54

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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.