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Finding the Fourth Proportional to 301.34, 416.00 and 213.26

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Solution

The fourth proportional to 301.34, 416.00 and 213.26 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 416.00 = 213.26 : x
  2. Step 2: Convert to fraction form
    301.34/416.00 = 213.26/x
  3. Step 3: Cross multiply
    301.34x = 416.00 × 213.26
  4. Step 4: Simplify right side
    301.34x = 88,714.61
  5. Step 5: Solve for x
    x = 88,714.61/301.34
  6. Step 6: Final answer
    x = 294.40

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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.