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Finding the Fourth Proportional to 225.53, 338.36 and 110.10

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Solution

The fourth proportional to 225.53, 338.36 and 110.10 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 338.36 = 110.10 : x
  2. Step 2: Convert to fraction form
    225.53/338.36 = 110.10/x
  3. Step 3: Cross multiply
    225.53x = 338.36 × 110.10
  4. Step 4: Simplify right side
    225.53x = 37,252.89
  5. Step 5: Solve for x
    x = 37,252.89/225.53
  6. Step 6: Final answer
    x = 165.18

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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.