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Finding the Fourth Proportional to 290.60, 435.69 and 182.06

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Solution

The fourth proportional to 290.60, 435.69 and 182.06 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 435.69 = 182.06 : x
  2. Step 2: Convert to fraction form
    290.60/435.69 = 182.06/x
  3. Step 3: Cross multiply
    290.60x = 435.69 × 182.06
  4. Step 4: Simplify right side
    290.60x = 79,319.54
  5. Step 5: Solve for x
    x = 79,319.54/290.60
  6. Step 6: Final answer
    x = 272.96

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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.