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Finding the Fourth Proportional to 211.39, 317.39 and 134.68

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Solution

The fourth proportional to 211.39, 317.39 and 134.68 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.39 : 317.39 = 134.68 : x
  2. Step 2: Convert to fraction form
    211.39/317.39 = 134.68/x
  3. Step 3: Cross multiply
    211.39x = 317.39 × 134.68
  4. Step 4: Simplify right side
    211.39x = 42,746.09
  5. Step 5: Solve for x
    x = 42,746.09/211.39
  6. Step 6: Final answer
    x = 202.21

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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.