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Finding the Fourth Proportional to 215.19, 296.37 and 165.96

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Solution

The fourth proportional to 215.19, 296.37 and 165.96 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 296.37 = 165.96 : x
  2. Step 2: Convert to fraction form
    215.19/296.37 = 165.96/x
  3. Step 3: Cross multiply
    215.19x = 296.37 × 165.96
  4. Step 4: Simplify right side
    215.19x = 49,185.57
  5. Step 5: Solve for x
    x = 49,185.57/215.19
  6. Step 6: Final answer
    x = 228.57

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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.