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Finding the Fourth Proportional to 454.76, 682.12 and 162.25

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Solution

The fourth proportional to 454.76, 682.12 and 162.25 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.76 : 682.12 = 162.25 : x
  2. Step 2: Convert to fraction form
    454.76/682.12 = 162.25/x
  3. Step 3: Cross multiply
    454.76x = 682.12 × 162.25
  4. Step 4: Simplify right side
    454.76x = 110,671.86
  5. Step 5: Solve for x
    x = 110,671.86/454.76
  6. Step 6: Final answer
    x = 243.37

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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.