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Finding the Fourth Proportional to 225.83, 311.55 and 142.94

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Solution

The fourth proportional to 225.83, 311.55 and 142.94 is: 197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 311.55 = 142.94 : x
  2. Step 2: Convert to fraction form
    225.83/311.55 = 142.94/x
  3. Step 3: Cross multiply
    225.83x = 311.55 × 142.94
  4. Step 4: Simplify right side
    225.83x = 44,531.40
  5. Step 5: Solve for x
    x = 44,531.40/225.83
  6. Step 6: Final answer
    x = 197.19

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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.