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Finding the Fourth Proportional to 223.66, 336.30 and 178.57

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Solution

The fourth proportional to 223.66, 336.30 and 178.57 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 336.30 = 178.57 : x
  2. Step 2: Convert to fraction form
    223.66/336.30 = 178.57/x
  3. Step 3: Cross multiply
    223.66x = 336.30 × 178.57
  4. Step 4: Simplify right side
    223.66x = 60,053.09
  5. Step 5: Solve for x
    x = 60,053.09/223.66
  6. Step 6: Final answer
    x = 268.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.