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Finding the Fourth Proportional to 301.88, 415.85 and 228.11

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Solution

The fourth proportional to 301.88, 415.85 and 228.11 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 415.85 = 228.11 : x
  2. Step 2: Convert to fraction form
    301.88/415.85 = 228.11/x
  3. Step 3: Cross multiply
    301.88x = 415.85 × 228.11
  4. Step 4: Simplify right side
    301.88x = 94,856.32
  5. Step 5: Solve for x
    x = 94,856.32/301.88
  6. Step 6: Final answer
    x = 314.22

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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.