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Finding the Fourth Proportional to 214.40, 321.59 and 52.08

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Solution

The fourth proportional to 214.40, 321.59 and 52.08 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 321.59 = 52.08 : x
  2. Step 2: Convert to fraction form
    214.40/321.59 = 52.08/x
  3. Step 3: Cross multiply
    214.40x = 321.59 × 52.08
  4. Step 4: Simplify right side
    214.40x = 16,748.54
  5. Step 5: Solve for x
    x = 16,748.54/214.40
  6. Step 6: Final answer
    x = 78.12

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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.