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Finding the Fourth Proportional to 367.16, 506.54 and 229.24

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Solution

The fourth proportional to 367.16, 506.54 and 229.24 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.54 = 229.24 : x
  2. Step 2: Convert to fraction form
    367.16/506.54 = 229.24/x
  3. Step 3: Cross multiply
    367.16x = 506.54 × 229.24
  4. Step 4: Simplify right side
    367.16x = 116,119.23
  5. Step 5: Solve for x
    x = 116,119.23/367.16
  6. Step 6: Final answer
    x = 316.26

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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.