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Finding the Fourth Proportional to 366.34, 549.42 and 173.92

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Solution

The fourth proportional to 366.34, 549.42 and 173.92 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.34 : 549.42 = 173.92 : x
  2. Step 2: Convert to fraction form
    366.34/549.42 = 173.92/x
  3. Step 3: Cross multiply
    366.34x = 549.42 × 173.92
  4. Step 4: Simplify right side
    366.34x = 95,555.13
  5. Step 5: Solve for x
    x = 95,555.13/366.34
  6. Step 6: Final answer
    x = 260.84

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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.