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Finding the Fourth Proportional to 225.77, 311.55 and 148.13

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Solution

The fourth proportional to 225.77, 311.55 and 148.13 is: 204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.77 : 311.55 = 148.13 : x
  2. Step 2: Convert to fraction form
    225.77/311.55 = 148.13/x
  3. Step 3: Cross multiply
    225.77x = 311.55 × 148.13
  4. Step 4: Simplify right side
    225.77x = 46,149.90
  5. Step 5: Solve for x
    x = 46,149.90/225.77
  6. Step 6: Final answer
    x = 204.41

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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.