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Finding the Fourth Proportional to 235.42, 352.37 and 165.66

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Solution

The fourth proportional to 235.42, 352.37 and 165.66 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 352.37 = 165.66 : x
  2. Step 2: Convert to fraction form
    235.42/352.37 = 165.66/x
  3. Step 3: Cross multiply
    235.42x = 352.37 × 165.66
  4. Step 4: Simplify right side
    235.42x = 58,373.61
  5. Step 5: Solve for x
    x = 58,373.61/235.42
  6. Step 6: Final answer
    x = 247.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.