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Finding the Fourth Proportional to 212.77, 319.38 and 126.10

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Solution

The fourth proportional to 212.77, 319.38 and 126.10 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 319.38 = 126.10 : x
  2. Step 2: Convert to fraction form
    212.77/319.38 = 126.10/x
  3. Step 3: Cross multiply
    212.77x = 319.38 × 126.10
  4. Step 4: Simplify right side
    212.77x = 40,273.82
  5. Step 5: Solve for x
    x = 40,273.82/212.77
  6. Step 6: Final answer
    x = 189.28

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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.