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Finding the Fourth Proportional to 215.09, 322.57 and 76.26

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Solution

The fourth proportional to 215.09, 322.57 and 76.26 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.09 : 322.57 = 76.26 : x
  2. Step 2: Convert to fraction form
    215.09/322.57 = 76.26/x
  3. Step 3: Cross multiply
    215.09x = 322.57 × 76.26
  4. Step 4: Simplify right side
    215.09x = 24,599.19
  5. Step 5: Solve for x
    x = 24,599.19/215.09
  6. Step 6: Final answer
    x = 114.37

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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.