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Finding the Fourth Proportional to 231.68, 319.75 and 149.02

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Solution

The fourth proportional to 231.68, 319.75 and 149.02 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.68 : 319.75 = 149.02 : x
  2. Step 2: Convert to fraction form
    231.68/319.75 = 149.02/x
  3. Step 3: Cross multiply
    231.68x = 319.75 × 149.02
  4. Step 4: Simplify right side
    231.68x = 47,649.15
  5. Step 5: Solve for x
    x = 47,649.15/231.68
  6. Step 6: Final answer
    x = 205.67

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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.