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Finding the Fourth Proportional to 340.92, 511.62 and 148.44

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Solution

The fourth proportional to 340.92, 511.62 and 148.44 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 511.62 = 148.44 : x
  2. Step 2: Convert to fraction form
    340.92/511.62 = 148.44/x
  3. Step 3: Cross multiply
    340.92x = 511.62 × 148.44
  4. Step 4: Simplify right side
    340.92x = 75,944.87
  5. Step 5: Solve for x
    x = 75,944.87/340.92
  6. Step 6: Final answer
    x = 222.76

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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.