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Finding the Fourth Proportional to 233.42, 349.96 and 110.03

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Solution

The fourth proportional to 233.42, 349.96 and 110.03 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.42 : 349.96 = 110.03 : x
  2. Step 2: Convert to fraction form
    233.42/349.96 = 110.03/x
  3. Step 3: Cross multiply
    233.42x = 349.96 × 110.03
  4. Step 4: Simplify right side
    233.42x = 38,506.10
  5. Step 5: Solve for x
    x = 38,506.10/233.42
  6. Step 6: Final answer
    x = 164.96

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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.