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Finding the Fourth Proportional to 231.18, 319.32 and 165.60

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Solution

The fourth proportional to 231.18, 319.32 and 165.60 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 319.32 = 165.60 : x
  2. Step 2: Convert to fraction form
    231.18/319.32 = 165.60/x
  3. Step 3: Cross multiply
    231.18x = 319.32 × 165.60
  4. Step 4: Simplify right side
    231.18x = 52,879.39
  5. Step 5: Solve for x
    x = 52,879.39/231.18
  6. Step 6: Final answer
    x = 228.74

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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.