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Finding the Fourth Proportional to 211.26, 317.12 and 145.38

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Solution

The fourth proportional to 211.26, 317.12 and 145.38 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 317.12 = 145.38 : x
  2. Step 2: Convert to fraction form
    211.26/317.12 = 145.38/x
  3. Step 3: Cross multiply
    211.26x = 317.12 × 145.38
  4. Step 4: Simplify right side
    211.26x = 46,102.91
  5. Step 5: Solve for x
    x = 46,102.91/211.26
  6. Step 6: Final answer
    x = 218.23

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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.