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Finding the Fourth Proportional to 325.78, 488.28 and 120.22

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Solution

The fourth proportional to 325.78, 488.28 and 120.22 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 488.28 = 120.22 : x
  2. Step 2: Convert to fraction form
    325.78/488.28 = 120.22/x
  3. Step 3: Cross multiply
    325.78x = 488.28 × 120.22
  4. Step 4: Simplify right side
    325.78x = 58,701.02
  5. Step 5: Solve for x
    x = 58,701.02/325.78
  6. Step 6: Final answer
    x = 180.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.