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Finding the Fourth Proportional to 214.70, 321.30 and 186.17

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Solution

The fourth proportional to 214.70, 321.30 and 186.17 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 321.30 = 186.17 : x
  2. Step 2: Convert to fraction form
    214.70/321.30 = 186.17/x
  3. Step 3: Cross multiply
    214.70x = 321.30 × 186.17
  4. Step 4: Simplify right side
    214.70x = 59,814.81
  5. Step 5: Solve for x
    x = 59,814.81/214.70
  6. Step 6: Final answer
    x = 278.60

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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.