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Finding the Fourth Proportional to 228.92, 343.44 and 148.19

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Solution

The fourth proportional to 228.92, 343.44 and 148.19 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 343.44 = 148.19 : x
  2. Step 2: Convert to fraction form
    228.92/343.44 = 148.19/x
  3. Step 3: Cross multiply
    228.92x = 343.44 × 148.19
  4. Step 4: Simplify right side
    228.92x = 50,892.66
  5. Step 5: Solve for x
    x = 50,892.66/228.92
  6. Step 6: Final answer
    x = 222.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.