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Finding the Fourth Proportional to 305.77, 458.62 and 110.75

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Solution

The fourth proportional to 305.77, 458.62 and 110.75 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.77 : 458.62 = 110.75 : x
  2. Step 2: Convert to fraction form
    305.77/458.62 = 110.75/x
  3. Step 3: Cross multiply
    305.77x = 458.62 × 110.75
  4. Step 4: Simplify right side
    305.77x = 50,792.17
  5. Step 5: Solve for x
    x = 50,792.17/305.77
  6. Step 6: Final answer
    x = 166.11

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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.