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Finding the Fourth Proportional to 301.63, 415.74 and 213.13

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Solution

The fourth proportional to 301.63, 415.74 and 213.13 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.63 : 415.74 = 213.13 : x
  2. Step 2: Convert to fraction form
    301.63/415.74 = 213.13/x
  3. Step 3: Cross multiply
    301.63x = 415.74 × 213.13
  4. Step 4: Simplify right side
    301.63x = 88,606.67
  5. Step 5: Solve for x
    x = 88,606.67/301.63
  6. Step 6: Final answer
    x = 293.76

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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.