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Finding the Fourth Proportional to 305.42, 458.34 and 161.24

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Solution

The fourth proportional to 305.42, 458.34 and 161.24 is: 241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 458.34 = 161.24 : x
  2. Step 2: Convert to fraction form
    305.42/458.34 = 161.24/x
  3. Step 3: Cross multiply
    305.42x = 458.34 × 161.24
  4. Step 4: Simplify right side
    305.42x = 73,902.74
  5. Step 5: Solve for x
    x = 73,902.74/305.42
  6. Step 6: Final answer
    x = 241.97

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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.