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Finding the Fourth Proportional to 212.14, 317.58 and 186.22

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Solution

The fourth proportional to 212.14, 317.58 and 186.22 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 317.58 = 186.22 : x
  2. Step 2: Convert to fraction form
    212.14/317.58 = 186.22/x
  3. Step 3: Cross multiply
    212.14x = 317.58 × 186.22
  4. Step 4: Simplify right side
    212.14x = 59,139.75
  5. Step 5: Solve for x
    x = 59,139.75/212.14
  6. Step 6: Final answer
    x = 278.78

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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.