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Finding the Fourth Proportional to 214.84, 296.56 and 141.22

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Solution

The fourth proportional to 214.84, 296.56 and 141.22 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 296.56 = 141.22 : x
  2. Step 2: Convert to fraction form
    214.84/296.56 = 141.22/x
  3. Step 3: Cross multiply
    214.84x = 296.56 × 141.22
  4. Step 4: Simplify right side
    214.84x = 41,880.20
  5. Step 5: Solve for x
    x = 41,880.20/214.84
  6. Step 6: Final answer
    x = 194.94

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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.