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Finding the Fourth Proportional to 215.66, 296.88 and 160.22

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Solution

The fourth proportional to 215.66, 296.88 and 160.22 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.66 : 296.88 = 160.22 : x
  2. Step 2: Convert to fraction form
    215.66/296.88 = 160.22/x
  3. Step 3: Cross multiply
    215.66x = 296.88 × 160.22
  4. Step 4: Simplify right side
    215.66x = 47,566.11
  5. Step 5: Solve for x
    x = 47,566.11/215.66
  6. Step 6: Final answer
    x = 220.56

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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.