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Finding the Fourth Proportional to 231.50, 319.20 and 165.90

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Solution

The fourth proportional to 231.50, 319.20 and 165.90 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 319.20 = 165.90 : x
  2. Step 2: Convert to fraction form
    231.50/319.20 = 165.90/x
  3. Step 3: Cross multiply
    231.50x = 319.20 × 165.90
  4. Step 4: Simplify right side
    231.50x = 52,955.28
  5. Step 5: Solve for x
    x = 52,955.28/231.50
  6. Step 6: Final answer
    x = 228.75

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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.