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Finding the Fourth Proportional to 291.13, 436.89 and 188.16

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Solution

The fourth proportional to 291.13, 436.89 and 188.16 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 436.89 = 188.16 : x
  2. Step 2: Convert to fraction form
    291.13/436.89 = 188.16/x
  3. Step 3: Cross multiply
    291.13x = 436.89 × 188.16
  4. Step 4: Simplify right side
    291.13x = 82,204.29
  5. Step 5: Solve for x
    x = 82,204.29/291.13
  6. Step 6: Final answer
    x = 282.37

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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.