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Finding the Fourth Proportional to 486.49, 729.75 and 161.86

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Solution

The fourth proportional to 486.49, 729.75 and 161.86 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.49 : 729.75 = 161.86 : x
  2. Step 2: Convert to fraction form
    486.49/729.75 = 161.86/x
  3. Step 3: Cross multiply
    486.49x = 729.75 × 161.86
  4. Step 4: Simplify right side
    486.49x = 118,117.34
  5. Step 5: Solve for x
    x = 118,117.34/486.49
  6. Step 6: Final answer
    x = 242.79

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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.