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Finding the Fourth Proportional to 227.66, 313.72 and 162.06

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Solution

The fourth proportional to 227.66, 313.72 and 162.06 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 313.72 = 162.06 : x
  2. Step 2: Convert to fraction form
    227.66/313.72 = 162.06/x
  3. Step 3: Cross multiply
    227.66x = 313.72 × 162.06
  4. Step 4: Simplify right side
    227.66x = 50,841.46
  5. Step 5: Solve for x
    x = 50,841.46/227.66
  6. Step 6: Final answer
    x = 223.32

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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.