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Finding the Fourth Proportional to 209.75, 314.63 and 184.40

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Solution

The fourth proportional to 209.75, 314.63 and 184.40 is: 276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.63 = 184.40 : x
  2. Step 2: Convert to fraction form
    209.75/314.63 = 184.40/x
  3. Step 3: Cross multiply
    209.75x = 314.63 × 184.40
  4. Step 4: Simplify right side
    209.75x = 58,015.28
  5. Step 5: Solve for x
    x = 58,015.28/209.75
  6. Step 6: Final answer
    x = 276.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.