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Finding the Fourth Proportional to 338.10, 466.80 and 233.16

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Solution

The fourth proportional to 338.10, 466.80 and 233.16 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 466.80 = 233.16 : x
  2. Step 2: Convert to fraction form
    338.10/466.80 = 233.16/x
  3. Step 3: Cross multiply
    338.10x = 466.80 × 233.16
  4. Step 4: Simplify right side
    338.10x = 108,839.09
  5. Step 5: Solve for x
    x = 108,839.09/338.10
  6. Step 6: Final answer
    x = 321.91

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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.