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Finding the Fourth Proportional to 214.84, 296.36 and 131.96

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Solution

The fourth proportional to 214.84, 296.36 and 131.96 is: 182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 296.36 = 131.96 : x
  2. Step 2: Convert to fraction form
    214.84/296.36 = 131.96/x
  3. Step 3: Cross multiply
    214.84x = 296.36 × 131.96
  4. Step 4: Simplify right side
    214.84x = 39,107.67
  5. Step 5: Solve for x
    x = 39,107.67/214.84
  6. Step 6: Final answer
    x = 182.03

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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.