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Finding the Fourth Proportional to 216.01, 297.89 and 142.30

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Solution

The fourth proportional to 216.01, 297.89 and 142.30 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.01 : 297.89 = 142.30 : x
  2. Step 2: Convert to fraction form
    216.01/297.89 = 142.30/x
  3. Step 3: Cross multiply
    216.01x = 297.89 × 142.30
  4. Step 4: Simplify right side
    216.01x = 42,388.26
  5. Step 5: Solve for x
    x = 42,388.26/216.01
  6. Step 6: Final answer
    x = 196.24

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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.