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Finding the Fourth Proportional to 290.96, 436.84 and 188.32

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Solution

The fourth proportional to 290.96, 436.84 and 188.32 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 436.84 = 188.32 : x
  2. Step 2: Convert to fraction form
    290.96/436.84 = 188.32/x
  3. Step 3: Cross multiply
    290.96x = 436.84 × 188.32
  4. Step 4: Simplify right side
    290.96x = 82,265.71
  5. Step 5: Solve for x
    x = 82,265.71/290.96
  6. Step 6: Final answer
    x = 282.74

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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.