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Finding the Fourth Proportional to 164.61, 226.98 and 109.26

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Solution

The fourth proportional to 164.61, 226.98 and 109.26 is: 150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 226.98 = 109.26 : x
  2. Step 2: Convert to fraction form
    164.61/226.98 = 109.26/x
  3. Step 3: Cross multiply
    164.61x = 226.98 × 109.26
  4. Step 4: Simplify right side
    164.61x = 24,799.83
  5. Step 5: Solve for x
    x = 24,799.83/164.61
  6. Step 6: Final answer
    x = 150.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.