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Finding the Fourth Proportional to 214.90, 322.42 and 85.02

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Solution

The fourth proportional to 214.90, 322.42 and 85.02 is: 127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 322.42 = 85.02 : x
  2. Step 2: Convert to fraction form
    214.90/322.42 = 85.02/x
  3. Step 3: Cross multiply
    214.90x = 322.42 × 85.02
  4. Step 4: Simplify right side
    214.90x = 27,412.15
  5. Step 5: Solve for x
    x = 27,412.15/214.90
  6. Step 6: Final answer
    x = 127.56

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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.