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Finding the Fourth Proportional to 215.98, 324 and 94.24

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Solution

The fourth proportional to 215.98, 324 and 94.24 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 324 = 94.24 : x
  2. Step 2: Convert to fraction form
    215.98/324 = 94.24/x
  3. Step 3: Cross multiply
    215.98x = 324 × 94.24
  4. Step 4: Simplify right side
    215.98x = 30,533.76
  5. Step 5: Solve for x
    x = 30,533.76/215.98
  6. Step 6: Final answer
    x = 141.37

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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.