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Finding the Fourth Proportional to 233.74, 350.65 and 71.41

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Solution

The fourth proportional to 233.74, 350.65 and 71.41 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 350.65 = 71.41 : x
  2. Step 2: Convert to fraction form
    233.74/350.65 = 71.41/x
  3. Step 3: Cross multiply
    233.74x = 350.65 × 71.41
  4. Step 4: Simplify right side
    233.74x = 25,039.92
  5. Step 5: Solve for x
    x = 25,039.92/233.74
  6. Step 6: Final answer
    x = 107.13

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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.