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Finding the Fourth Proportional to 223.80, 333.24 and 203.64

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Solution

The fourth proportional to 223.80, 333.24 and 203.64 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.80 : 333.24 = 203.64 : x
  2. Step 2: Convert to fraction form
    223.80/333.24 = 203.64/x
  3. Step 3: Cross multiply
    223.80x = 333.24 × 203.64
  4. Step 4: Simplify right side
    223.80x = 67,860.99
  5. Step 5: Solve for x
    x = 67,860.99/223.80
  6. Step 6: Final answer
    x = 303.22

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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.