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Finding the Fourth Proportional to 486.09, 729.07 and 177.93

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Solution

The fourth proportional to 486.09, 729.07 and 177.93 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 729.07 = 177.93 : x
  2. Step 2: Convert to fraction form
    486.09/729.07 = 177.93/x
  3. Step 3: Cross multiply
    486.09x = 729.07 × 177.93
  4. Step 4: Simplify right side
    486.09x = 129,723.43
  5. Step 5: Solve for x
    x = 129,723.43/486.09
  6. Step 6: Final answer
    x = 266.87

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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.