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Finding the Fourth Proportional to 227.99, 314.52 and 165.72

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Solution

The fourth proportional to 227.99, 314.52 and 165.72 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.99 : 314.52 = 165.72 : x
  2. Step 2: Convert to fraction form
    227.99/314.52 = 165.72/x
  3. Step 3: Cross multiply
    227.99x = 314.52 × 165.72
  4. Step 4: Simplify right side
    227.99x = 52,122.25
  5. Step 5: Solve for x
    x = 52,122.25/227.99
  6. Step 6: Final answer
    x = 228.62

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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.