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Finding the Fourth Proportional to 231.74, 347.16 and 180.11

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Solution

The fourth proportional to 231.74, 347.16 and 180.11 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.74 : 347.16 = 180.11 : x
  2. Step 2: Convert to fraction form
    231.74/347.16 = 180.11/x
  3. Step 3: Cross multiply
    231.74x = 347.16 × 180.11
  4. Step 4: Simplify right side
    231.74x = 62,525.25
  5. Step 5: Solve for x
    x = 62,525.25/231.74
  6. Step 6: Final answer
    x = 269.80

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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.