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Finding the Fourth Proportional to 214.88, 322.27 and 60.83

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Solution

The fourth proportional to 214.88, 322.27 and 60.83 is: 91.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 322.27 = 60.83 : x
  2. Step 2: Convert to fraction form
    214.88/322.27 = 60.83/x
  3. Step 3: Cross multiply
    214.88x = 322.27 × 60.83
  4. Step 4: Simplify right side
    214.88x = 19,602.14
  5. Step 5: Solve for x
    x = 19,602.14/214.88
  6. Step 6: Final answer
    x = 91.22

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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.