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Finding the Fourth Proportional to 195.16, 269.23 and 165.53

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Solution

The fourth proportional to 195.16, 269.23 and 165.53 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.16 : 269.23 = 165.53 : x
  2. Step 2: Convert to fraction form
    195.16/269.23 = 165.53/x
  3. Step 3: Cross multiply
    195.16x = 269.23 × 165.53
  4. Step 4: Simplify right side
    195.16x = 44,565.64
  5. Step 5: Solve for x
    x = 44,565.64/195.16
  6. Step 6: Final answer
    x = 228.35

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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.