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Finding the Fourth Proportional to 214.74, 296.46 and 202.86

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Solution

The fourth proportional to 214.74, 296.46 and 202.86 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 296.46 = 202.86 : x
  2. Step 2: Convert to fraction form
    214.74/296.46 = 202.86/x
  3. Step 3: Cross multiply
    214.74x = 296.46 × 202.86
  4. Step 4: Simplify right side
    214.74x = 60,139.88
  5. Step 5: Solve for x
    x = 60,139.88/214.74
  6. Step 6: Final answer
    x = 280.06

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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.