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Finding the Fourth Proportional to 211.65, 317.21 and 96.09

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Solution

The fourth proportional to 211.65, 317.21 and 96.09 is: 144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.65 : 317.21 = 96.09 : x
  2. Step 2: Convert to fraction form
    211.65/317.21 = 96.09/x
  3. Step 3: Cross multiply
    211.65x = 317.21 × 96.09
  4. Step 4: Simplify right side
    211.65x = 30,480.23
  5. Step 5: Solve for x
    x = 30,480.23/211.65
  6. Step 6: Final answer
    x = 144.01

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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.