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Finding the Fourth Proportional to 214.56, 296.04 and 140.76

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Solution

The fourth proportional to 214.56, 296.04 and 140.76 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 296.04 = 140.76 : x
  2. Step 2: Convert to fraction form
    214.56/296.04 = 140.76/x
  3. Step 3: Cross multiply
    214.56x = 296.04 × 140.76
  4. Step 4: Simplify right side
    214.56x = 41,670.59
  5. Step 5: Solve for x
    x = 41,670.59/214.56
  6. Step 6: Final answer
    x = 194.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.