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Finding the Fourth Proportional to 211.50, 291.88 and 149.35

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Solution

The fourth proportional to 211.50, 291.88 and 149.35 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.50 : 291.88 = 149.35 : x
  2. Step 2: Convert to fraction form
    211.50/291.88 = 149.35/x
  3. Step 3: Cross multiply
    211.50x = 291.88 × 149.35
  4. Step 4: Simplify right side
    211.50x = 43,591.90
  5. Step 5: Solve for x
    x = 43,591.90/211.50
  6. Step 6: Final answer
    x = 206.11

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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.