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Finding the Fourth Proportional to 325.20, 448.56 and 232.14

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Solution

The fourth proportional to 325.20, 448.56 and 232.14 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.20 : 448.56 = 232.14 : x
  2. Step 2: Convert to fraction form
    325.20/448.56 = 232.14/x
  3. Step 3: Cross multiply
    325.20x = 448.56 × 232.14
  4. Step 4: Simplify right side
    325.20x = 104,128.72
  5. Step 5: Solve for x
    x = 104,128.72/325.20
  6. Step 6: Final answer
    x = 320.20

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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.