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Finding the Fourth Proportional to 193.77, 290.98 and 184.03

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Solution

The fourth proportional to 193.77, 290.98 and 184.03 is: 276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.77 : 290.98 = 184.03 : x
  2. Step 2: Convert to fraction form
    193.77/290.98 = 184.03/x
  3. Step 3: Cross multiply
    193.77x = 290.98 × 184.03
  4. Step 4: Simplify right side
    193.77x = 53,549.05
  5. Step 5: Solve for x
    x = 53,549.05/193.77
  6. Step 6: Final answer
    x = 276.35

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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.