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Finding the Fourth Proportional to 211.89, 292.44 and 146.43

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Solution

The fourth proportional to 211.89, 292.44 and 146.43 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.89 : 292.44 = 146.43 : x
  2. Step 2: Convert to fraction form
    211.89/292.44 = 146.43/x
  3. Step 3: Cross multiply
    211.89x = 292.44 × 146.43
  4. Step 4: Simplify right side
    211.89x = 42,821.99
  5. Step 5: Solve for x
    x = 42,821.99/211.89
  6. Step 6: Final answer
    x = 202.10

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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.