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Finding the Fourth Proportional to 225.66, 336.97 and 179.50

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Solution

The fourth proportional to 225.66, 336.97 and 179.50 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.66 : 336.97 = 179.50 : x
  2. Step 2: Convert to fraction form
    225.66/336.97 = 179.50/x
  3. Step 3: Cross multiply
    225.66x = 336.97 × 179.50
  4. Step 4: Simplify right side
    225.66x = 60,486.12
  5. Step 5: Solve for x
    x = 60,486.12/225.66
  6. Step 6: Final answer
    x = 268.04

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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.