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Finding the Fourth Proportional to 211.59, 292.17 and 149.56

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Solution

The fourth proportional to 211.59, 292.17 and 149.56 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.59 : 292.17 = 149.56 : x
  2. Step 2: Convert to fraction form
    211.59/292.17 = 149.56/x
  3. Step 3: Cross multiply
    211.59x = 292.17 × 149.56
  4. Step 4: Simplify right side
    211.59x = 43,696.95
  5. Step 5: Solve for x
    x = 43,696.95/211.59
  6. Step 6: Final answer
    x = 206.52

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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.