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Finding the Fourth Proportional to 508.40, 762.59 and 161.75

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Solution

The fourth proportional to 508.40, 762.59 and 161.75 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 762.59 = 161.75 : x
  2. Step 2: Convert to fraction form
    508.40/762.59 = 161.75/x
  3. Step 3: Cross multiply
    508.40x = 762.59 × 161.75
  4. Step 4: Simplify right side
    508.40x = 123,344.31
  5. Step 5: Solve for x
    x = 123,344.31/508.40
  6. Step 6: Final answer
    x = 242.62

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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.