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Finding the Fourth Proportional to 209.05, 312.89 and 155.05

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Solution

The fourth proportional to 209.05, 312.89 and 155.05 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 312.89 = 155.05 : x
  2. Step 2: Convert to fraction form
    209.05/312.89 = 155.05/x
  3. Step 3: Cross multiply
    209.05x = 312.89 × 155.05
  4. Step 4: Simplify right side
    209.05x = 48,513.59
  5. Step 5: Solve for x
    x = 48,513.59/209.05
  6. Step 6: Final answer
    x = 232.07

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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.