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Finding the Fourth Proportional to 290.84, 436.14 and 182.56

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Solution

The fourth proportional to 290.84, 436.14 and 182.56 is: 273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 436.14 = 182.56 : x
  2. Step 2: Convert to fraction form
    290.84/436.14 = 182.56/x
  3. Step 3: Cross multiply
    290.84x = 436.14 × 182.56
  4. Step 4: Simplify right side
    290.84x = 79,621.72
  5. Step 5: Solve for x
    x = 79,621.72/290.84
  6. Step 6: Final answer
    x = 273.76

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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.