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Finding the Fourth Proportional to 451.17, 677.10 and 177.33

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Solution

The fourth proportional to 451.17, 677.10 and 177.33 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.17 : 677.10 = 177.33 : x
  2. Step 2: Convert to fraction form
    451.17/677.10 = 177.33/x
  3. Step 3: Cross multiply
    451.17x = 677.10 × 177.33
  4. Step 4: Simplify right side
    451.17x = 120,070.14
  5. Step 5: Solve for x
    x = 120,070.14/451.17
  6. Step 6: Final answer
    x = 266.13

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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.