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Finding the Fourth Proportional to 233.99, 323.04 and 160.48

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Solution

The fourth proportional to 233.99, 323.04 and 160.48 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.99 : 323.04 = 160.48 : x
  2. Step 2: Convert to fraction form
    233.99/323.04 = 160.48/x
  3. Step 3: Cross multiply
    233.99x = 323.04 × 160.48
  4. Step 4: Simplify right side
    233.99x = 51,841.56
  5. Step 5: Solve for x
    x = 51,841.56/233.99
  6. Step 6: Final answer
    x = 221.56

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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.