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Finding the Fourth Proportional to 209.83, 314.57 and 187.05

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Solution

The fourth proportional to 209.83, 314.57 and 187.05 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 314.57 = 187.05 : x
  2. Step 2: Convert to fraction form
    209.83/314.57 = 187.05/x
  3. Step 3: Cross multiply
    209.83x = 314.57 × 187.05
  4. Step 4: Simplify right side
    209.83x = 58,840.32
  5. Step 5: Solve for x
    x = 58,840.32/209.83
  6. Step 6: Final answer
    x = 280.42

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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.