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Finding the Fourth Proportional to 215.92, 297.47 and 153.65

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Solution

The fourth proportional to 215.92, 297.47 and 153.65 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 297.47 = 153.65 : x
  2. Step 2: Convert to fraction form
    215.92/297.47 = 153.65/x
  3. Step 3: Cross multiply
    215.92x = 297.47 × 153.65
  4. Step 4: Simplify right side
    215.92x = 45,706.27
  5. Step 5: Solve for x
    x = 45,706.27/215.92
  6. Step 6: Final answer
    x = 211.68

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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.