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Finding the Fourth Proportional to 231.98, 320.14 and 127.08

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Solution

The fourth proportional to 231.98, 320.14 and 127.08 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 320.14 = 127.08 : x
  2. Step 2: Convert to fraction form
    231.98/320.14 = 127.08/x
  3. Step 3: Cross multiply
    231.98x = 320.14 × 127.08
  4. Step 4: Simplify right side
    231.98x = 40,683.39
  5. Step 5: Solve for x
    x = 40,683.39/231.98
  6. Step 6: Final answer
    x = 175.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.