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Finding the Fourth Proportional to 226.65, 340.03 and 105.00

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Solution

The fourth proportional to 226.65, 340.03 and 105.00 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.65 : 340.03 = 105.00 : x
  2. Step 2: Convert to fraction form
    226.65/340.03 = 105.00/x
  3. Step 3: Cross multiply
    226.65x = 340.03 × 105.00
  4. Step 4: Simplify right side
    226.65x = 35,702.30
  5. Step 5: Solve for x
    x = 35,702.30/226.65
  6. Step 6: Final answer
    x = 157.52

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