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Finding the Fourth Proportional to 211.44, 317.20 and 134.48

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Solution

The fourth proportional to 211.44, 317.20 and 134.48 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 317.20 = 134.48 : x
  2. Step 2: Convert to fraction form
    211.44/317.20 = 134.48/x
  3. Step 3: Cross multiply
    211.44x = 317.20 × 134.48
  4. Step 4: Simplify right side
    211.44x = 42,657.06
  5. Step 5: Solve for x
    x = 42,657.06/211.44
  6. Step 6: Final answer
    x = 201.75

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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.