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Finding the Fourth Proportional to 214.94, 322.43 and 93.29

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Solution

The fourth proportional to 214.94, 322.43 and 93.29 is: 139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 322.43 = 93.29 : x
  2. Step 2: Convert to fraction form
    214.94/322.43 = 93.29/x
  3. Step 3: Cross multiply
    214.94x = 322.43 × 93.29
  4. Step 4: Simplify right side
    214.94x = 30,077.94
  5. Step 5: Solve for x
    x = 30,077.94/214.94
  6. Step 6: Final answer
    x = 139.94

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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.