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Finding the Fourth Proportional to 231.40, 319.32 and 138.16

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Solution

The fourth proportional to 231.40, 319.32 and 138.16 is: 190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.40 : 319.32 = 138.16 : x
  2. Step 2: Convert to fraction form
    231.40/319.32 = 138.16/x
  3. Step 3: Cross multiply
    231.40x = 319.32 × 138.16
  4. Step 4: Simplify right side
    231.40x = 44,117.25
  5. Step 5: Solve for x
    x = 44,117.25/231.40
  6. Step 6: Final answer
    x = 190.65

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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.