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Finding the Fourth Proportional to 305.39, 458.11 and 122.75

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Solution

The fourth proportional to 305.39, 458.11 and 122.75 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.39 : 458.11 = 122.75 : x
  2. Step 2: Convert to fraction form
    305.39/458.11 = 122.75/x
  3. Step 3: Cross multiply
    305.39x = 458.11 × 122.75
  4. Step 4: Simplify right side
    305.39x = 56,234.47
  5. Step 5: Solve for x
    x = 56,234.47/305.39
  6. Step 6: Final answer
    x = 184.14

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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.