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Finding the Fourth Proportional to 231.35, 319.10 and 184.64

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Solution

The fourth proportional to 231.35, 319.10 and 184.64 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.35 : 319.10 = 184.64 : x
  2. Step 2: Convert to fraction form
    231.35/319.10 = 184.64/x
  3. Step 3: Cross multiply
    231.35x = 319.10 × 184.64
  4. Step 4: Simplify right side
    231.35x = 58,917.03
  5. Step 5: Solve for x
    x = 58,917.03/231.35
  6. Step 6: Final answer
    x = 254.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.