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Finding the Fourth Proportional to 231.00, 318.69 and 165.60

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Solution

The fourth proportional to 231.00, 318.69 and 165.60 is: 228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.00 : 318.69 = 165.60 : x
  2. Step 2: Convert to fraction form
    231.00/318.69 = 165.60/x
  3. Step 3: Cross multiply
    231.00x = 318.69 × 165.60
  4. Step 4: Simplify right side
    231.00x = 52,773.87
  5. Step 5: Solve for x
    x = 52,773.87/231.00
  6. Step 6: Final answer
    x = 228.45

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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.