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Finding the Fourth Proportional to 305.67, 458.51 and 166.51

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Solution

The fourth proportional to 305.67, 458.51 and 166.51 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.67 : 458.51 = 166.51 : x
  2. Step 2: Convert to fraction form
    305.67/458.51 = 166.51/x
  3. Step 3: Cross multiply
    305.67x = 458.51 × 166.51
  4. Step 4: Simplify right side
    305.67x = 76,344.21
  5. Step 5: Solve for x
    x = 76,344.21/305.67
  6. Step 6: Final answer
    x = 249.76

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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.