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Finding the Fourth Proportional to 486.19, 728.63 and 177.75

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Solution

The fourth proportional to 486.19, 728.63 and 177.75 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.19 : 728.63 = 177.75 : x
  2. Step 2: Convert to fraction form
    486.19/728.63 = 177.75/x
  3. Step 3: Cross multiply
    486.19x = 728.63 × 177.75
  4. Step 4: Simplify right side
    486.19x = 129,513.98
  5. Step 5: Solve for x
    x = 129,513.98/486.19
  6. Step 6: Final answer
    x = 266.39

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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.