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Finding the Fourth Proportional to 367.19, 506.00 and 262.10

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Solution

The fourth proportional to 367.19, 506.00 and 262.10 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.19 : 506.00 = 262.10 : x
  2. Step 2: Convert to fraction form
    367.19/506.00 = 262.10/x
  3. Step 3: Cross multiply
    367.19x = 506.00 × 262.10
  4. Step 4: Simplify right side
    367.19x = 132,618.76
  5. Step 5: Solve for x
    x = 132,618.76/367.19
  6. Step 6: Final answer
    x = 361.18

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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.