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Finding the Fourth Proportional to 216.41, 299.32 and 212.77

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Solution

The fourth proportional to 216.41, 299.32 and 212.77 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 299.32 = 212.77 : x
  2. Step 2: Convert to fraction form
    216.41/299.32 = 212.77/x
  3. Step 3: Cross multiply
    216.41x = 299.32 × 212.77
  4. Step 4: Simplify right side
    216.41x = 63,685.04
  5. Step 5: Solve for x
    x = 63,685.04/216.41
  6. Step 6: Final answer
    x = 294.28

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Why These Related Problems?

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