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Finding the Fourth Proportional to 305.66, 458.42 and 110.63

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Solution

The fourth proportional to 305.66, 458.42 and 110.63 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 458.42 = 110.63 : x
  2. Step 2: Convert to fraction form
    305.66/458.42 = 110.63/x
  3. Step 3: Cross multiply
    305.66x = 458.42 × 110.63
  4. Step 4: Simplify right side
    305.66x = 50,712.16
  5. Step 5: Solve for x
    x = 50,712.16/305.66
  6. Step 6: Final answer
    x = 165.91

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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.