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Finding the Fourth Proportional to 233.68, 347.86 and 232.44

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Solution

The fourth proportional to 233.68, 347.86 and 232.44 is: 346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 347.86 = 232.44 : x
  2. Step 2: Convert to fraction form
    233.68/347.86 = 232.44/x
  3. Step 3: Cross multiply
    233.68x = 347.86 × 232.44
  4. Step 4: Simplify right side
    233.68x = 80,856.58
  5. Step 5: Solve for x
    x = 80,856.58/233.68
  6. Step 6: Final answer
    x = 346.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.