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Finding the Fourth Proportional to 214.71, 322.53 and 202.42

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Solution

The fourth proportional to 214.71, 322.53 and 202.42 is: 304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 322.53 = 202.42 : x
  2. Step 2: Convert to fraction form
    214.71/322.53 = 202.42/x
  3. Step 3: Cross multiply
    214.71x = 322.53 × 202.42
  4. Step 4: Simplify right side
    214.71x = 65,286.52
  5. Step 5: Solve for x
    x = 65,286.52/214.71
  6. Step 6: Final answer
    x = 304.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.