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Finding the Fourth Proportional to 223.44, 333.70 and 193.12

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Solution

The fourth proportional to 223.44, 333.70 and 193.12 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 333.70 = 193.12 : x
  2. Step 2: Convert to fraction form
    223.44/333.70 = 193.12/x
  3. Step 3: Cross multiply
    223.44x = 333.70 × 193.12
  4. Step 4: Simplify right side
    223.44x = 64,444.14
  5. Step 5: Solve for x
    x = 64,444.14/223.44
  6. Step 6: Final answer
    x = 288.42

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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.