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Finding the Fourth Proportional to 214.77, 322.17 and 180.21

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Solution

The fourth proportional to 214.77, 322.17 and 180.21 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 322.17 = 180.21 : x
  2. Step 2: Convert to fraction form
    214.77/322.17 = 180.21/x
  3. Step 3: Cross multiply
    214.77x = 322.17 × 180.21
  4. Step 4: Simplify right side
    214.77x = 58,058.26
  5. Step 5: Solve for x
    x = 58,058.26/214.77
  6. Step 6: Final answer
    x = 270.33

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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.