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Finding the Fourth Proportional to 355.99, 534.21 and 173.41

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Solution

The fourth proportional to 355.99, 534.21 and 173.41 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.99 : 534.21 = 173.41 : x
  2. Step 2: Convert to fraction form
    355.99/534.21 = 173.41/x
  3. Step 3: Cross multiply
    355.99x = 534.21 × 173.41
  4. Step 4: Simplify right side
    355.99x = 92,637.36
  5. Step 5: Solve for x
    x = 92,637.36/355.99
  6. Step 6: Final answer
    x = 260.22

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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.