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Finding the Fourth Proportional to 451.40, 677 and 177.48

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Solution

The fourth proportional to 451.40, 677 and 177.48 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 677 = 177.48 : x
  2. Step 2: Convert to fraction form
    451.40/677 = 177.48/x
  3. Step 3: Cross multiply
    451.40x = 677 × 177.48
  4. Step 4: Simplify right side
    451.40x = 120,153.96
  5. Step 5: Solve for x
    x = 120,153.96/451.40
  6. Step 6: Final answer
    x = 266.18

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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.