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Finding the Fourth Proportional to 211.02, 314.81 and 205.14

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Solution

The fourth proportional to 211.02, 314.81 and 205.14 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.02 : 314.81 = 205.14 : x
  2. Step 2: Convert to fraction form
    211.02/314.81 = 205.14/x
  3. Step 3: Cross multiply
    211.02x = 314.81 × 205.14
  4. Step 4: Simplify right side
    211.02x = 64,579.10
  5. Step 5: Solve for x
    x = 64,579.10/211.02
  6. Step 6: Final answer
    x = 306.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.