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Finding the Fourth Proportional to 211.69, 292.25 and 159.85

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Solution

The fourth proportional to 211.69, 292.25 and 159.85 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 292.25 = 159.85 : x
  2. Step 2: Convert to fraction form
    211.69/292.25 = 159.85/x
  3. Step 3: Cross multiply
    211.69x = 292.25 × 159.85
  4. Step 4: Simplify right side
    211.69x = 46,715.23
  5. Step 5: Solve for x
    x = 46,715.23/211.69
  6. Step 6: Final answer
    x = 220.68

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