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Finding the Fourth Proportional to 451.32, 677.16 and 162.78

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Solution

The fourth proportional to 451.32, 677.16 and 162.78 is: 244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.32 : 677.16 = 162.78 : x
  2. Step 2: Convert to fraction form
    451.32/677.16 = 162.78/x
  3. Step 3: Cross multiply
    451.32x = 677.16 × 162.78
  4. Step 4: Simplify right side
    451.32x = 110,228.10
  5. Step 5: Solve for x
    x = 110,228.10/451.32
  6. Step 6: Final answer
    x = 244.23

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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.