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Finding the Fourth Proportional to 386.37, 579.38 and 166.77

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Solution

The fourth proportional to 386.37, 579.38 and 166.77 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 579.38 = 166.77 : x
  2. Step 2: Convert to fraction form
    386.37/579.38 = 166.77/x
  3. Step 3: Cross multiply
    386.37x = 579.38 × 166.77
  4. Step 4: Simplify right side
    386.37x = 96,622.37
  5. Step 5: Solve for x
    x = 96,622.37/386.37
  6. Step 6: Final answer
    x = 250.08

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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.