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Finding the Fourth Proportional to 216.63, 323.37 and 202.86

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Solution

The fourth proportional to 216.63, 323.37 and 202.86 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.63 : 323.37 = 202.86 : x
  2. Step 2: Convert to fraction form
    216.63/323.37 = 202.86/x
  3. Step 3: Cross multiply
    216.63x = 323.37 × 202.86
  4. Step 4: Simplify right side
    216.63x = 65,598.84
  5. Step 5: Solve for x
    x = 65,598.84/216.63
  6. Step 6: Final answer
    x = 302.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.