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Finding the Fourth Proportional to 211.79, 317.69 and 109.01

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Solution

The fourth proportional to 211.79, 317.69 and 109.01 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.79 : 317.69 = 109.01 : x
  2. Step 2: Convert to fraction form
    211.79/317.69 = 109.01/x
  3. Step 3: Cross multiply
    211.79x = 317.69 × 109.01
  4. Step 4: Simplify right side
    211.79x = 34,632.04
  5. Step 5: Solve for x
    x = 34,632.04/211.79
  6. Step 6: Final answer
    x = 163.52

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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.