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Finding the Fourth Proportional to 305.72, 458.15 and 161.26

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Solution

The fourth proportional to 305.72, 458.15 and 161.26 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.72 : 458.15 = 161.26 : x
  2. Step 2: Convert to fraction form
    305.72/458.15 = 161.26/x
  3. Step 3: Cross multiply
    305.72x = 458.15 × 161.26
  4. Step 4: Simplify right side
    305.72x = 73,881.27
  5. Step 5: Solve for x
    x = 73,881.27/305.72
  6. Step 6: Final answer
    x = 241.66

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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.