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Finding the Fourth Proportional to 214.80, 321.63 and 146.46

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Solution

The fourth proportional to 214.80, 321.63 and 146.46 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 321.63 = 146.46 : x
  2. Step 2: Convert to fraction form
    214.80/321.63 = 146.46/x
  3. Step 3: Cross multiply
    214.80x = 321.63 × 146.46
  4. Step 4: Simplify right side
    214.80x = 47,103.59
  5. Step 5: Solve for x
    x = 47,103.59/214.80
  6. Step 6: Final answer
    x = 219.29

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