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Finding the Fourth Proportional to 305.82, 458.61 and 110.78

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Solution

The fourth proportional to 305.82, 458.61 and 110.78 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 458.61 = 110.78 : x
  2. Step 2: Convert to fraction form
    305.82/458.61 = 110.78/x
  3. Step 3: Cross multiply
    305.82x = 458.61 × 110.78
  4. Step 4: Simplify right side
    305.82x = 50,804.82
  5. Step 5: Solve for x
    x = 50,804.82/305.82
  6. Step 6: Final answer
    x = 166.13

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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.