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Finding the Fourth Proportional to 508.63, 762.98 and 161.95

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Solution

The fourth proportional to 508.63, 762.98 and 161.95 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.63 : 762.98 = 161.95 : x
  2. Step 2: Convert to fraction form
    508.63/762.98 = 161.95/x
  3. Step 3: Cross multiply
    508.63x = 762.98 × 161.95
  4. Step 4: Simplify right side
    508.63x = 123,564.61
  5. Step 5: Solve for x
    x = 123,564.61/508.63
  6. Step 6: Final answer
    x = 242.94

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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.