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Finding the Fourth Proportional to 340.92, 511.44 and 109.86

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Solution

The fourth proportional to 340.92, 511.44 and 109.86 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 511.44 = 109.86 : x
  2. Step 2: Convert to fraction form
    340.92/511.44 = 109.86/x
  3. Step 3: Cross multiply
    340.92x = 511.44 × 109.86
  4. Step 4: Simplify right side
    340.92x = 56,186.80
  5. Step 5: Solve for x
    x = 56,186.80/340.92
  6. Step 6: Final answer
    x = 164.81

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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.