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Finding the Fourth Proportional to 209.94, 313.35 and 185.64

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Solution

The fourth proportional to 209.94, 313.35 and 185.64 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 313.35 = 185.64 : x
  2. Step 2: Convert to fraction form
    209.94/313.35 = 185.64/x
  3. Step 3: Cross multiply
    209.94x = 313.35 × 185.64
  4. Step 4: Simplify right side
    209.94x = 58,170.29
  5. Step 5: Solve for x
    x = 58,170.29/209.94
  6. Step 6: Final answer
    x = 277.08

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Why These Related Problems?

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