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Finding the Fourth Proportional to 370.11, 510.83 and 212.85

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Solution

The fourth proportional to 370.11, 510.83 and 212.85 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.11 : 510.83 = 212.85 : x
  2. Step 2: Convert to fraction form
    370.11/510.83 = 212.85/x
  3. Step 3: Cross multiply
    370.11x = 510.83 × 212.85
  4. Step 4: Simplify right side
    370.11x = 108,729.10
  5. Step 5: Solve for x
    x = 108,729.10/370.11
  6. Step 6: Final answer
    x = 293.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.