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Finding the Fourth Proportional to 225.22, 310.60 and 141.13

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Solution

The fourth proportional to 225.22, 310.60 and 141.13 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.22 : 310.60 = 141.13 : x
  2. Step 2: Convert to fraction form
    225.22/310.60 = 141.13/x
  3. Step 3: Cross multiply
    225.22x = 310.60 × 141.13
  4. Step 4: Simplify right side
    225.22x = 43,834.98
  5. Step 5: Solve for x
    x = 43,834.98/225.22
  6. Step 6: Final answer
    x = 194.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.