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Finding the Fourth Proportional to 231.74, 347.31 and 101.69

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Solution

The fourth proportional to 231.74, 347.31 and 101.69 is: 152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.74 : 347.31 = 101.69 : x
  2. Step 2: Convert to fraction form
    231.74/347.31 = 101.69/x
  3. Step 3: Cross multiply
    231.74x = 347.31 × 101.69
  4. Step 4: Simplify right side
    231.74x = 35,316.22
  5. Step 5: Solve for x
    x = 35,316.22/231.74
  6. Step 6: Final answer
    x = 152.40

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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.