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Finding the Fourth Proportional to 275.21, 379.76 and 150.86

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Solution

The fourth proportional to 275.21, 379.76 and 150.86 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.21 : 379.76 = 150.86 : x
  2. Step 2: Convert to fraction form
    275.21/379.76 = 150.86/x
  3. Step 3: Cross multiply
    275.21x = 379.76 × 150.86
  4. Step 4: Simplify right side
    275.21x = 57,290.59
  5. Step 5: Solve for x
    x = 57,290.59/275.21
  6. Step 6: Final answer
    x = 208.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.