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Finding the Fourth Proportional to 209.46, 287.51 and 193.03

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Solution

The fourth proportional to 209.46, 287.51 and 193.03 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 287.51 = 193.03 : x
  2. Step 2: Convert to fraction form
    209.46/287.51 = 193.03/x
  3. Step 3: Cross multiply
    209.46x = 287.51 × 193.03
  4. Step 4: Simplify right side
    209.46x = 55,498.06
  5. Step 5: Solve for x
    x = 55,498.06/209.46
  6. Step 6: Final answer
    x = 264.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.