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Finding the Fourth Proportional to 195.04, 268.72 and 165.92

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Solution

The fourth proportional to 195.04, 268.72 and 165.92 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 268.72 = 165.92 : x
  2. Step 2: Convert to fraction form
    195.04/268.72 = 165.92/x
  3. Step 3: Cross multiply
    195.04x = 268.72 × 165.92
  4. Step 4: Simplify right side
    195.04x = 44,586.02
  5. Step 5: Solve for x
    x = 44,586.02/195.04
  6. Step 6: Final answer
    x = 228.60

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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.