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Finding the Fourth Proportional to 235.39, 324.66 and 165.46

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Solution

The fourth proportional to 235.39, 324.66 and 165.46 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.39 : 324.66 = 165.46 : x
  2. Step 2: Convert to fraction form
    235.39/324.66 = 165.46/x
  3. Step 3: Cross multiply
    235.39x = 324.66 × 165.46
  4. Step 4: Simplify right side
    235.39x = 53,718.24
  5. Step 5: Solve for x
    x = 53,718.24/235.39
  6. Step 6: Final answer
    x = 228.21

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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.