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Finding the Fourth Proportional to 233.25, 349.90 and 109.82

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Solution

The fourth proportional to 233.25, 349.90 and 109.82 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 349.90 = 109.82 : x
  2. Step 2: Convert to fraction form
    233.25/349.90 = 109.82/x
  3. Step 3: Cross multiply
    233.25x = 349.90 × 109.82
  4. Step 4: Simplify right side
    233.25x = 38,426.02
  5. Step 5: Solve for x
    x = 38,426.02/233.25
  6. Step 6: Final answer
    x = 164.74

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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.