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Finding the Fourth Proportional to 227.57, 313.73 and 153.77

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Solution

The fourth proportional to 227.57, 313.73 and 153.77 is: 211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 313.73 = 153.77 : x
  2. Step 2: Convert to fraction form
    227.57/313.73 = 153.77/x
  3. Step 3: Cross multiply
    227.57x = 313.73 × 153.77
  4. Step 4: Simplify right side
    227.57x = 48,242.26
  5. Step 5: Solve for x
    x = 48,242.26/227.57
  6. Step 6: Final answer
    x = 211.99

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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.