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Finding the Fourth Proportional to 233.15, 349.65 and 96.23

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Solution

The fourth proportional to 233.15, 349.65 and 96.23 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 349.65 = 96.23 : x
  2. Step 2: Convert to fraction form
    233.15/349.65 = 96.23/x
  3. Step 3: Cross multiply
    233.15x = 349.65 × 96.23
  4. Step 4: Simplify right side
    233.15x = 33,647.69
  5. Step 5: Solve for x
    x = 33,647.69/233.15
  6. Step 6: Final answer
    x = 144.32

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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.