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Finding the Fourth Proportional to 213.93, 295.52 and 165.42

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Solution

The fourth proportional to 213.93, 295.52 and 165.42 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.93 : 295.52 = 165.42 : x
  2. Step 2: Convert to fraction form
    213.93/295.52 = 165.42/x
  3. Step 3: Cross multiply
    213.93x = 295.52 × 165.42
  4. Step 4: Simplify right side
    213.93x = 48,884.83
  5. Step 5: Solve for x
    x = 48,884.83/213.93
  6. Step 6: Final answer
    x = 228.51

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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.