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Finding the Fourth Proportional to 225.90, 338.59 and 102.59

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Solution

The fourth proportional to 225.90, 338.59 and 102.59 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.90 : 338.59 = 102.59 : x
  2. Step 2: Convert to fraction form
    225.90/338.59 = 102.59/x
  3. Step 3: Cross multiply
    225.90x = 338.59 × 102.59
  4. Step 4: Simplify right side
    225.90x = 34,736.10
  5. Step 5: Solve for x
    x = 34,736.10/225.90
  6. Step 6: Final answer
    x = 153.77

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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.