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Finding the Fourth Proportional to 227.48, 314.01 and 162.07

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Solution

The fourth proportional to 227.48, 314.01 and 162.07 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 314.01 = 162.07 : x
  2. Step 2: Convert to fraction form
    227.48/314.01 = 162.07/x
  3. Step 3: Cross multiply
    227.48x = 314.01 × 162.07
  4. Step 4: Simplify right side
    227.48x = 50,890.82
  5. Step 5: Solve for x
    x = 50,890.82/227.48
  6. Step 6: Final answer
    x = 223.72

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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.