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Finding the Fourth Proportional to 215.68, 296.96 and 186.88

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Solution

The fourth proportional to 215.68, 296.96 and 186.88 is: 257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.68 : 296.96 = 186.88 : x
  2. Step 2: Convert to fraction form
    215.68/296.96 = 186.88/x
  3. Step 3: Cross multiply
    215.68x = 296.96 × 186.88
  4. Step 4: Simplify right side
    215.68x = 55,495.88
  5. Step 5: Solve for x
    x = 55,495.88/215.68
  6. Step 6: Final answer
    x = 257.31

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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.