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Finding the Fourth Proportional to 215.65, 297.85 and 142.30

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Solution

The fourth proportional to 215.65, 297.85 and 142.30 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.65 : 297.85 = 142.30 : x
  2. Step 2: Convert to fraction form
    215.65/297.85 = 142.30/x
  3. Step 3: Cross multiply
    215.65x = 297.85 × 142.30
  4. Step 4: Simplify right side
    215.65x = 42,384.06
  5. Step 5: Solve for x
    x = 42,384.06/215.65
  6. Step 6: Final answer
    x = 196.54

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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.