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Finding the Fourth Proportional to 231.72, 319.88 and 165.35

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Solution

The fourth proportional to 231.72, 319.88 and 165.35 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 319.88 = 165.35 : x
  2. Step 2: Convert to fraction form
    231.72/319.88 = 165.35/x
  3. Step 3: Cross multiply
    231.72x = 319.88 × 165.35
  4. Step 4: Simplify right side
    231.72x = 52,890.97
  5. Step 5: Solve for x
    x = 52,890.97/231.72
  6. Step 6: Final answer
    x = 228.25

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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.