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Finding the Fourth Proportional to 235.68, 324.90 and 165.52

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Solution

The fourth proportional to 235.68, 324.90 and 165.52 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 324.90 = 165.52 : x
  2. Step 2: Convert to fraction form
    235.68/324.90 = 165.52/x
  3. Step 3: Cross multiply
    235.68x = 324.90 × 165.52
  4. Step 4: Simplify right side
    235.68x = 53,777.45
  5. Step 5: Solve for x
    x = 53,777.45/235.68
  6. Step 6: Final answer
    x = 228.18

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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.