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Finding the Fourth Proportional to 233.96, 350.88 and 71.61

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Solution

The fourth proportional to 233.96, 350.88 and 71.61 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 350.88 = 71.61 : x
  2. Step 2: Convert to fraction form
    233.96/350.88 = 71.61/x
  3. Step 3: Cross multiply
    233.96x = 350.88 × 71.61
  4. Step 4: Simplify right side
    233.96x = 25,126.52
  5. Step 5: Solve for x
    x = 25,126.52/233.96
  6. Step 6: Final answer
    x = 107.40

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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.