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Finding the Fourth Proportional to 231.66, 347.51 and 75.51

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Solution

The fourth proportional to 231.66, 347.51 and 75.51 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 347.51 = 75.51 : x
  2. Step 2: Convert to fraction form
    231.66/347.51 = 75.51/x
  3. Step 3: Cross multiply
    231.66x = 347.51 × 75.51
  4. Step 4: Simplify right side
    231.66x = 26,240.67
  5. Step 5: Solve for x
    x = 26,240.67/231.66
  6. Step 6: Final answer
    x = 113.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.