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Finding the Fourth Proportional to 211.22, 316.59 and 206.42

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Solution

The fourth proportional to 211.22, 316.59 and 206.42 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.22 : 316.59 = 206.42 : x
  2. Step 2: Convert to fraction form
    211.22/316.59 = 206.42/x
  3. Step 3: Cross multiply
    211.22x = 316.59 × 206.42
  4. Step 4: Simplify right side
    211.22x = 65,350.51
  5. Step 5: Solve for x
    x = 65,350.51/211.22
  6. Step 6: Final answer
    x = 309.40

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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.