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Finding the Fourth Proportional to 212.08, 317.70 and 187.10

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Solution

The fourth proportional to 212.08, 317.70 and 187.10 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 317.70 = 187.10 : x
  2. Step 2: Convert to fraction form
    212.08/317.70 = 187.10/x
  3. Step 3: Cross multiply
    212.08x = 317.70 × 187.10
  4. Step 4: Simplify right side
    212.08x = 59,441.67
  5. Step 5: Solve for x
    x = 59,441.67/212.08
  6. Step 6: Final answer
    x = 280.28

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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.