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Finding the Fourth Proportional to 233.14, 349.44 and 96.12

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Solution

The fourth proportional to 233.14, 349.44 and 96.12 is: 144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 349.44 = 96.12 : x
  2. Step 2: Convert to fraction form
    233.14/349.44 = 96.12/x
  3. Step 3: Cross multiply
    233.14x = 349.44 × 96.12
  4. Step 4: Simplify right side
    233.14x = 33,588.17
  5. Step 5: Solve for x
    x = 33,588.17/233.14
  6. Step 6: Final answer
    x = 144.07

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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.