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Finding the Fourth Proportional to 233.12, 349.74 and 96.14

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Solution

The fourth proportional to 233.12, 349.74 and 96.14 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 349.74 = 96.14 : x
  2. Step 2: Convert to fraction form
    233.12/349.74 = 96.14/x
  3. Step 3: Cross multiply
    233.12x = 349.74 × 96.14
  4. Step 4: Simplify right side
    233.12x = 33,622.25
  5. Step 5: Solve for x
    x = 33,622.25/233.12
  6. Step 6: Final answer
    x = 144.23

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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.