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Finding the Fourth Proportional to 290.82, 435.91 and 188.17

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Solution

The fourth proportional to 290.82, 435.91 and 188.17 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 435.91 = 188.17 : x
  2. Step 2: Convert to fraction form
    290.82/435.91 = 188.17/x
  3. Step 3: Cross multiply
    290.82x = 435.91 × 188.17
  4. Step 4: Simplify right side
    290.82x = 82,025.18
  5. Step 5: Solve for x
    x = 82,025.18/290.82
  6. Step 6: Final answer
    x = 282.05

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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.