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Finding the Fourth Proportional to 216.04, 324.04 and 173.56

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Solution

The fourth proportional to 216.04, 324.04 and 173.56 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.04 : 324.04 = 173.56 : x
  2. Step 2: Convert to fraction form
    216.04/324.04 = 173.56/x
  3. Step 3: Cross multiply
    216.04x = 324.04 × 173.56
  4. Step 4: Simplify right side
    216.04x = 56,240.38
  5. Step 5: Solve for x
    x = 56,240.38/216.04
  6. Step 6: Final answer
    x = 260.32

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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.