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Finding the Fourth Proportional to 434.25, 651.36 and 109.61

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Solution

The fourth proportional to 434.25, 651.36 and 109.61 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.25 : 651.36 = 109.61 : x
  2. Step 2: Convert to fraction form
    434.25/651.36 = 109.61/x
  3. Step 3: Cross multiply
    434.25x = 651.36 × 109.61
  4. Step 4: Simplify right side
    434.25x = 71,395.57
  5. Step 5: Solve for x
    x = 71,395.57/434.25
  6. Step 6: Final answer
    x = 164.41

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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.