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Finding the Fourth Proportional to 340.74, 511.25 and 109.62

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Solution

The fourth proportional to 340.74, 511.25 and 109.62 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.74 : 511.25 = 109.62 : x
  2. Step 2: Convert to fraction form
    340.74/511.25 = 109.62/x
  3. Step 3: Cross multiply
    340.74x = 511.25 × 109.62
  4. Step 4: Simplify right side
    340.74x = 56,042.68
  5. Step 5: Solve for x
    x = 56,042.68/340.74
  6. Step 6: Final answer
    x = 164.47

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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.