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Finding the Fourth Proportional to 233.84, 350.90 and 96.90

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Solution

The fourth proportional to 233.84, 350.90 and 96.90 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 350.90 = 96.90 : x
  2. Step 2: Convert to fraction form
    233.84/350.90 = 96.90/x
  3. Step 3: Cross multiply
    233.84x = 350.90 × 96.90
  4. Step 4: Simplify right side
    233.84x = 34,002.21
  5. Step 5: Solve for x
    x = 34,002.21/233.84
  6. Step 6: Final answer
    x = 145.41

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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.