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Finding the Fourth Proportional to 454.61, 682.19 and 177.15

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Solution

The fourth proportional to 454.61, 682.19 and 177.15 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.61 : 682.19 = 177.15 : x
  2. Step 2: Convert to fraction form
    454.61/682.19 = 177.15/x
  3. Step 3: Cross multiply
    454.61x = 682.19 × 177.15
  4. Step 4: Simplify right side
    454.61x = 120,852.30
  5. Step 5: Solve for x
    x = 120,852.30/454.61
  6. Step 6: Final answer
    x = 265.84

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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.