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Finding the Fourth Proportional to 462.25, 693.38 and 120.25

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Solution

The fourth proportional to 462.25, 693.38 and 120.25 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 693.38 = 120.25 : x
  2. Step 2: Convert to fraction form
    462.25/693.38 = 120.25/x
  3. Step 3: Cross multiply
    462.25x = 693.38 × 120.25
  4. Step 4: Simplify right side
    462.25x = 83,378.95
  5. Step 5: Solve for x
    x = 83,378.95/462.25
  6. Step 6: Final answer
    x = 180.38

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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.