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Finding the Fourth Proportional to 211.91, 292.28 and 146.30

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Solution

The fourth proportional to 211.91, 292.28 and 146.30 is: 201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.91 : 292.28 = 146.30 : x
  2. Step 2: Convert to fraction form
    211.91/292.28 = 146.30/x
  3. Step 3: Cross multiply
    211.91x = 292.28 × 146.30
  4. Step 4: Simplify right side
    211.91x = 42,758.37
  5. Step 5: Solve for x
    x = 42,758.37/211.91
  6. Step 6: Final answer
    x = 201.78

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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.