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Finding the Fourth Proportional to 486.02, 728.94 and 177.86

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Solution

The fourth proportional to 486.02, 728.94 and 177.86 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 728.94 = 177.86 : x
  2. Step 2: Convert to fraction form
    486.02/728.94 = 177.86/x
  3. Step 3: Cross multiply
    486.02x = 728.94 × 177.86
  4. Step 4: Simplify right side
    486.02x = 129,649.27
  5. Step 5: Solve for x
    x = 129,649.27/486.02
  6. Step 6: Final answer
    x = 266.76

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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.