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Finding the Fourth Proportional to 211.05, 314.40 and 204.68

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Solution

The fourth proportional to 211.05, 314.40 and 204.68 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.05 : 314.40 = 204.68 : x
  2. Step 2: Convert to fraction form
    211.05/314.40 = 204.68/x
  3. Step 3: Cross multiply
    211.05x = 314.40 × 204.68
  4. Step 4: Simplify right side
    211.05x = 64,351.39
  5. Step 5: Solve for x
    x = 64,351.39/211.05
  6. Step 6: Final answer
    x = 304.91

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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.