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Finding the Fourth Proportional to 212.08, 317.82 and 186.34

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Solution

The fourth proportional to 212.08, 317.82 and 186.34 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 317.82 = 186.34 : x
  2. Step 2: Convert to fraction form
    212.08/317.82 = 186.34/x
  3. Step 3: Cross multiply
    212.08x = 317.82 × 186.34
  4. Step 4: Simplify right side
    212.08x = 59,222.58
  5. Step 5: Solve for x
    x = 59,222.58/212.08
  6. Step 6: Final answer
    x = 279.25

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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.