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Finding the Fourth Proportional to 233.03, 348.01 and 219.53

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Solution

The fourth proportional to 233.03, 348.01 and 219.53 is: 327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 348.01 = 219.53 : x
  2. Step 2: Convert to fraction form
    233.03/348.01 = 219.53/x
  3. Step 3: Cross multiply
    233.03x = 348.01 × 219.53
  4. Step 4: Simplify right side
    233.03x = 76,398.96
  5. Step 5: Solve for x
    x = 76,398.96/233.03
  6. Step 6: Final answer
    x = 327.85

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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.