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Finding the Fourth Proportional to 215.21, 295.06 and 211.32

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Solution

The fourth proportional to 215.21, 295.06 and 211.32 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.21 : 295.06 = 211.32 : x
  2. Step 2: Convert to fraction form
    215.21/295.06 = 211.32/x
  3. Step 3: Cross multiply
    215.21x = 295.06 × 211.32
  4. Step 4: Simplify right side
    215.21x = 62,349.55
  5. Step 5: Solve for x
    x = 62,349.55/215.21
  6. Step 6: Final answer
    x = 289.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.