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Finding the Fourth Proportional to 301.08, 415.62 and 227.10

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Solution

The fourth proportional to 301.08, 415.62 and 227.10 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 415.62 = 227.10 : x
  2. Step 2: Convert to fraction form
    301.08/415.62 = 227.10/x
  3. Step 3: Cross multiply
    301.08x = 415.62 × 227.10
  4. Step 4: Simplify right side
    301.08x = 94,387.30
  5. Step 5: Solve for x
    x = 94,387.30/301.08
  6. Step 6: Final answer
    x = 313.50

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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.