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Finding the Fourth Proportional to 338.48, 466.92 and 214.10

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Solution

The fourth proportional to 338.48, 466.92 and 214.10 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.48 : 466.92 = 214.10 : x
  2. Step 2: Convert to fraction form
    338.48/466.92 = 214.10/x
  3. Step 3: Cross multiply
    338.48x = 466.92 × 214.10
  4. Step 4: Simplify right side
    338.48x = 99,967.57
  5. Step 5: Solve for x
    x = 99,967.57/338.48
  6. Step 6: Final answer
    x = 295.34

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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.