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Finding the Fourth Proportional to 508.19, 762.07 and 161.44

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Solution

The fourth proportional to 508.19, 762.07 and 161.44 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.19 : 762.07 = 161.44 : x
  2. Step 2: Convert to fraction form
    508.19/762.07 = 161.44/x
  3. Step 3: Cross multiply
    508.19x = 762.07 × 161.44
  4. Step 4: Simplify right side
    508.19x = 123,028.58
  5. Step 5: Solve for x
    x = 123,028.58/508.19
  6. Step 6: Final answer
    x = 242.09

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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.