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Finding the Fourth Proportional to 233.09, 349.74 and 96.24

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Solution

The fourth proportional to 233.09, 349.74 and 96.24 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 349.74 = 96.24 : x
  2. Step 2: Convert to fraction form
    233.09/349.74 = 96.24/x
  3. Step 3: Cross multiply
    233.09x = 349.74 × 96.24
  4. Step 4: Simplify right side
    233.09x = 33,656.75
  5. Step 5: Solve for x
    x = 33,656.75/233.09
  6. Step 6: Final answer
    x = 144.39

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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.