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Finding the Fourth Proportional to 455.16, 682.56 and 166.50

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Solution

The fourth proportional to 455.16, 682.56 and 166.50 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 682.56 = 166.50 : x
  2. Step 2: Convert to fraction form
    455.16/682.56 = 166.50/x
  3. Step 3: Cross multiply
    455.16x = 682.56 × 166.50
  4. Step 4: Simplify right side
    455.16x = 113,646.24
  5. Step 5: Solve for x
    x = 113,646.24/455.16
  6. Step 6: Final answer
    x = 249.68

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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.