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Finding the Fourth Proportional to 305.75, 458.04 and 151.49

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Solution

The fourth proportional to 305.75, 458.04 and 151.49 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 458.04 = 151.49 : x
  2. Step 2: Convert to fraction form
    305.75/458.04 = 151.49/x
  3. Step 3: Cross multiply
    305.75x = 458.04 × 151.49
  4. Step 4: Simplify right side
    305.75x = 69,388.48
  5. Step 5: Solve for x
    x = 69,388.48/305.75
  6. Step 6: Final answer
    x = 226.95

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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.