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Finding the Fourth Proportional to 214.97, 322.50 and 84.95

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Solution

The fourth proportional to 214.97, 322.50 and 84.95 is: 127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.97 : 322.50 = 84.95 : x
  2. Step 2: Convert to fraction form
    214.97/322.50 = 84.95/x
  3. Step 3: Cross multiply
    214.97x = 322.50 × 84.95
  4. Step 4: Simplify right side
    214.97x = 27,396.38
  5. Step 5: Solve for x
    x = 27,396.38/214.97
  6. Step 6: Final answer
    x = 127.44

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Why These Related Problems?

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