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Finding the Fourth Proportional to 214.64, 321.95 and 123.27

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Solution

The fourth proportional to 214.64, 321.95 and 123.27 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 321.95 = 123.27 : x
  2. Step 2: Convert to fraction form
    214.64/321.95 = 123.27/x
  3. Step 3: Cross multiply
    214.64x = 321.95 × 123.27
  4. Step 4: Simplify right side
    214.64x = 39,687.08
  5. Step 5: Solve for x
    x = 39,687.08/214.64
  6. Step 6: Final answer
    x = 184.91

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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.