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Finding the Fourth Proportional to 508.41, 762.71 and 161.78

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Solution

The fourth proportional to 508.41, 762.71 and 161.78 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.41 : 762.71 = 161.78 : x
  2. Step 2: Convert to fraction form
    508.41/762.71 = 161.78/x
  3. Step 3: Cross multiply
    508.41x = 762.71 × 161.78
  4. Step 4: Simplify right side
    508.41x = 123,386.60
  5. Step 5: Solve for x
    x = 123,386.60/508.41
  6. Step 6: Final answer
    x = 242.69

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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.