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Finding the Fourth Proportional to 285.37, 393.77 and 165.73

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Solution

The fourth proportional to 285.37, 393.77 and 165.73 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 393.77 = 165.73 : x
  2. Step 2: Convert to fraction form
    285.37/393.77 = 165.73/x
  3. Step 3: Cross multiply
    285.37x = 393.77 × 165.73
  4. Step 4: Simplify right side
    285.37x = 65,259.50
  5. Step 5: Solve for x
    x = 65,259.50/285.37
  6. Step 6: Final answer
    x = 228.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.