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Finding the Fourth Proportional to 305.48, 458.18 and 120.47

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Solution

The fourth proportional to 305.48, 458.18 and 120.47 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 458.18 = 120.47 : x
  2. Step 2: Convert to fraction form
    305.48/458.18 = 120.47/x
  3. Step 3: Cross multiply
    305.48x = 458.18 × 120.47
  4. Step 4: Simplify right side
    305.48x = 55,194.05
  5. Step 5: Solve for x
    x = 55,194.05/305.48
  6. Step 6: Final answer
    x = 180.68

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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.