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Finding the Fourth Proportional to 211.96, 317.27 and 135.01

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Solution

The fourth proportional to 211.96, 317.27 and 135.01 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.96 : 317.27 = 135.01 : x
  2. Step 2: Convert to fraction form
    211.96/317.27 = 135.01/x
  3. Step 3: Cross multiply
    211.96x = 317.27 × 135.01
  4. Step 4: Simplify right side
    211.96x = 42,834.62
  5. Step 5: Solve for x
    x = 42,834.62/211.96
  6. Step 6: Final answer
    x = 202.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.