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Finding the Fourth Proportional to 223.64, 334.12 and 216.08

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Solution

The fourth proportional to 223.64, 334.12 and 216.08 is: 322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 334.12 = 216.08 : x
  2. Step 2: Convert to fraction form
    223.64/334.12 = 216.08/x
  3. Step 3: Cross multiply
    223.64x = 334.12 × 216.08
  4. Step 4: Simplify right side
    223.64x = 72,196.65
  5. Step 5: Solve for x
    x = 72,196.65/223.64
  6. Step 6: Final answer
    x = 322.83

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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.