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Finding the Fourth Proportional to 227.08, 313.54 and 157.10

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Solution

The fourth proportional to 227.08, 313.54 and 157.10 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 313.54 = 157.10 : x
  2. Step 2: Convert to fraction form
    227.08/313.54 = 157.10/x
  3. Step 3: Cross multiply
    227.08x = 313.54 × 157.10
  4. Step 4: Simplify right side
    227.08x = 49,257.13
  5. Step 5: Solve for x
    x = 49,257.13/227.08
  6. Step 6: Final answer
    x = 216.92

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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.