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Finding the Fourth Proportional to 223.23, 308 and 179.01

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Solution

The fourth proportional to 223.23, 308 and 179.01 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 308 = 179.01 : x
  2. Step 2: Convert to fraction form
    223.23/308 = 179.01/x
  3. Step 3: Cross multiply
    223.23x = 308 × 179.01
  4. Step 4: Simplify right side
    223.23x = 55,135.08
  5. Step 5: Solve for x
    x = 55,135.08/223.23
  6. Step 6: Final answer
    x = 246.99

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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.