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Finding the Fourth Proportional to 338.36, 467.06 and 214.02

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Solution

The fourth proportional to 338.36, 467.06 and 214.02 is: 295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 467.06 = 214.02 : x
  2. Step 2: Convert to fraction form
    338.36/467.06 = 214.02/x
  3. Step 3: Cross multiply
    338.36x = 467.06 × 214.02
  4. Step 4: Simplify right side
    338.36x = 99,959.11
  5. Step 5: Solve for x
    x = 99,959.11/338.36
  6. Step 6: Final answer
    x = 295.43

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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.