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Finding the Fourth Proportional to 233.24, 347.66 and 232.88

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Solution

The fourth proportional to 233.24, 347.66 and 232.88 is: 347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 347.66 = 232.88 : x
  2. Step 2: Convert to fraction form
    233.24/347.66 = 232.88/x
  3. Step 3: Cross multiply
    233.24x = 347.66 × 232.88
  4. Step 4: Simplify right side
    233.24x = 80,963.06
  5. Step 5: Solve for x
    x = 80,963.06/233.24
  6. Step 6: Final answer
    x = 347.12

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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.