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Finding the Fourth Proportional to 214.90, 322.41 and 106.66

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Solution

The fourth proportional to 214.90, 322.41 and 106.66 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 322.41 = 106.66 : x
  2. Step 2: Convert to fraction form
    214.90/322.41 = 106.66/x
  3. Step 3: Cross multiply
    214.90x = 322.41 × 106.66
  4. Step 4: Simplify right side
    214.90x = 34,388.25
  5. Step 5: Solve for x
    x = 34,388.25/214.90
  6. Step 6: Final answer
    x = 160.02

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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.