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Finding the Fourth Proportional to 233.53, 350.39 and 96.67

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Solution

The fourth proportional to 233.53, 350.39 and 96.67 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 350.39 = 96.67 : x
  2. Step 2: Convert to fraction form
    233.53/350.39 = 96.67/x
  3. Step 3: Cross multiply
    233.53x = 350.39 × 96.67
  4. Step 4: Simplify right side
    233.53x = 33,873.20
  5. Step 5: Solve for x
    x = 33,873.20/233.53
  6. Step 6: Final answer
    x = 145.05

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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.