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Finding the Fourth Proportional to 427.76, 641.50 and 139.13

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Solution

The fourth proportional to 427.76, 641.50 and 139.13 is: 208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.76 : 641.50 = 139.13 : x
  2. Step 2: Convert to fraction form
    427.76/641.50 = 139.13/x
  3. Step 3: Cross multiply
    427.76x = 641.50 × 139.13
  4. Step 4: Simplify right side
    427.76x = 89,247.99
  5. Step 5: Solve for x
    x = 89,247.99/427.76
  6. Step 6: Final answer
    x = 208.64

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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.