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Finding the Fourth Proportional to 226.19, 340.00 and 165.61

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Solution

The fourth proportional to 226.19, 340.00 and 165.61 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.19 : 340.00 = 165.61 : x
  2. Step 2: Convert to fraction form
    226.19/340.00 = 165.61/x
  3. Step 3: Cross multiply
    226.19x = 340.00 × 165.61
  4. Step 4: Simplify right side
    226.19x = 56,307.41
  5. Step 5: Solve for x
    x = 56,307.41/226.19
  6. Step 6: Final answer
    x = 248.94

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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.