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Finding the Fourth Proportional to 301.64, 415.92 and 227.08

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Solution

The fourth proportional to 301.64, 415.92 and 227.08 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 415.92 = 227.08 : x
  2. Step 2: Convert to fraction form
    301.64/415.92 = 227.08/x
  3. Step 3: Cross multiply
    301.64x = 415.92 × 227.08
  4. Step 4: Simplify right side
    301.64x = 94,447.11
  5. Step 5: Solve for x
    x = 94,447.11/301.64
  6. Step 6: Final answer
    x = 313.11

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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.