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Finding the Fourth Proportional to 212.20, 317.90 and 178.18

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Solution

The fourth proportional to 212.20, 317.90 and 178.18 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 317.90 = 178.18 : x
  2. Step 2: Convert to fraction form
    212.20/317.90 = 178.18/x
  3. Step 3: Cross multiply
    212.20x = 317.90 × 178.18
  4. Step 4: Simplify right side
    212.20x = 56,643.42
  5. Step 5: Solve for x
    x = 56,643.42/212.20
  6. Step 6: Final answer
    x = 266.93

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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.