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Finding the Fourth Proportional to 233.76, 350.65 and 71.48

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Solution

The fourth proportional to 233.76, 350.65 and 71.48 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 350.65 = 71.48 : x
  2. Step 2: Convert to fraction form
    233.76/350.65 = 71.48/x
  3. Step 3: Cross multiply
    233.76x = 350.65 × 71.48
  4. Step 4: Simplify right side
    233.76x = 25,065.43
  5. Step 5: Solve for x
    x = 25,065.43/233.76
  6. Step 6: Final answer
    x = 107.23

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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.