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Finding the Fourth Proportional to 291.60, 436.44 and 188.62

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Solution

The fourth proportional to 291.60, 436.44 and 188.62 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 436.44 = 188.62 : x
  2. Step 2: Convert to fraction form
    291.60/436.44 = 188.62/x
  3. Step 3: Cross multiply
    291.60x = 436.44 × 188.62
  4. Step 4: Simplify right side
    291.60x = 82,321.31
  5. Step 5: Solve for x
    x = 82,321.31/291.60
  6. Step 6: Final answer
    x = 282.31

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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.