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Finding the Fourth Proportional to 455.14, 682.71 and 166.51

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Solution

The fourth proportional to 455.14, 682.71 and 166.51 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.14 : 682.71 = 166.51 : x
  2. Step 2: Convert to fraction form
    455.14/682.71 = 166.51/x
  3. Step 3: Cross multiply
    455.14x = 682.71 × 166.51
  4. Step 4: Simplify right side
    455.14x = 113,678.04
  5. Step 5: Solve for x
    x = 113,678.04/455.14
  6. Step 6: Final answer
    x = 249.77

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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.