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Finding the Fourth Proportional to 231.19, 346.75 and 84.93

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Solution

The fourth proportional to 231.19, 346.75 and 84.93 is: 127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.19 : 346.75 = 84.93 : x
  2. Step 2: Convert to fraction form
    231.19/346.75 = 84.93/x
  3. Step 3: Cross multiply
    231.19x = 346.75 × 84.93
  4. Step 4: Simplify right side
    231.19x = 29,449.48
  5. Step 5: Solve for x
    x = 29,449.48/231.19
  6. Step 6: Final answer
    x = 127.38

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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.