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Finding the Fourth Proportional to 231.51, 347.27 and 135.25

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Solution

The fourth proportional to 231.51, 347.27 and 135.25 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.51 : 347.27 = 135.25 : x
  2. Step 2: Convert to fraction form
    231.51/347.27 = 135.25/x
  3. Step 3: Cross multiply
    231.51x = 347.27 × 135.25
  4. Step 4: Simplify right side
    231.51x = 46,968.27
  5. Step 5: Solve for x
    x = 46,968.27/231.51
  6. Step 6: Final answer
    x = 202.88

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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.