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Finding the Fourth Proportional to 231.69, 347.54 and 101.59

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Solution

The fourth proportional to 231.69, 347.54 and 101.59 is: 152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 347.54 = 101.59 : x
  2. Step 2: Convert to fraction form
    231.69/347.54 = 101.59/x
  3. Step 3: Cross multiply
    231.69x = 347.54 × 101.59
  4. Step 4: Simplify right side
    231.69x = 35,305.21
  5. Step 5: Solve for x
    x = 35,305.21/231.69
  6. Step 6: Final answer
    x = 152.38

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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.