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Finding the Fourth Proportional to 225.34, 311 and 132.14

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Solution

The fourth proportional to 225.34, 311 and 132.14 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.34 : 311 = 132.14 : x
  2. Step 2: Convert to fraction form
    225.34/311 = 132.14/x
  3. Step 3: Cross multiply
    225.34x = 311 × 132.14
  4. Step 4: Simplify right side
    225.34x = 41,095.54
  5. Step 5: Solve for x
    x = 41,095.54/225.34
  6. Step 6: Final answer
    x = 182.37

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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.