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Finding the Fourth Proportional to 214.15, 321.84 and 142.46

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Solution

The fourth proportional to 214.15, 321.84 and 142.46 is: 214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.15 : 321.84 = 142.46 : x
  2. Step 2: Convert to fraction form
    214.15/321.84 = 142.46/x
  3. Step 3: Cross multiply
    214.15x = 321.84 × 142.46
  4. Step 4: Simplify right side
    214.15x = 45,848.61
  5. Step 5: Solve for x
    x = 45,848.61/214.15
  6. Step 6: Final answer
    x = 214.10

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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.