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Finding the Fourth Proportional to 362.16, 499.94 and 231.14

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Solution

The fourth proportional to 362.16, 499.94 and 231.14 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 499.94 = 231.14 : x
  2. Step 2: Convert to fraction form
    362.16/499.94 = 231.14/x
  3. Step 3: Cross multiply
    362.16x = 499.94 × 231.14
  4. Step 4: Simplify right side
    362.16x = 115,552.48
  5. Step 5: Solve for x
    x = 115,552.48/362.16
  6. Step 6: Final answer
    x = 319.06

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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.