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Finding the Fourth Proportional to 228.72, 343.13 and 125.95

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Solution

The fourth proportional to 228.72, 343.13 and 125.95 is: 188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 343.13 = 125.95 : x
  2. Step 2: Convert to fraction form
    228.72/343.13 = 125.95/x
  3. Step 3: Cross multiply
    228.72x = 343.13 × 125.95
  4. Step 4: Simplify right side
    228.72x = 43,217.22
  5. Step 5: Solve for x
    x = 43,217.22/228.72
  6. Step 6: Final answer
    x = 188.95

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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.