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Finding the Fourth Proportional to 233.90, 323.37 and 224.06

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Solution

The fourth proportional to 233.90, 323.37 and 224.06 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 323.37 = 224.06 : x
  2. Step 2: Convert to fraction form
    233.90/323.37 = 224.06/x
  3. Step 3: Cross multiply
    233.90x = 323.37 × 224.06
  4. Step 4: Simplify right side
    233.90x = 72,454.28
  5. Step 5: Solve for x
    x = 72,454.28/233.90
  6. Step 6: Final answer
    x = 309.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.