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Finding the Fourth Proportional to 214.90, 322.02 and 142.61

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Solution

The fourth proportional to 214.90, 322.02 and 142.61 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 322.02 = 142.61 : x
  2. Step 2: Convert to fraction form
    214.90/322.02 = 142.61/x
  3. Step 3: Cross multiply
    214.90x = 322.02 × 142.61
  4. Step 4: Simplify right side
    214.90x = 45,921.66
  5. Step 5: Solve for x
    x = 45,921.66/214.90
  6. Step 6: Final answer
    x = 213.69

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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.