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Finding the Fourth Proportional to 211.87, 317.55 and 151.03

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Solution

The fourth proportional to 211.87, 317.55 and 151.03 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.87 : 317.55 = 151.03 : x
  2. Step 2: Convert to fraction form
    211.87/317.55 = 151.03/x
  3. Step 3: Cross multiply
    211.87x = 317.55 × 151.03
  4. Step 4: Simplify right side
    211.87x = 47,959.58
  5. Step 5: Solve for x
    x = 47,959.58/211.87
  6. Step 6: Final answer
    x = 226.36

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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.