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Finding the Fourth Proportional to 366.41, 549.53 and 106.41

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Solution

The fourth proportional to 366.41, 549.53 and 106.41 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.41 : 549.53 = 106.41 : x
  2. Step 2: Convert to fraction form
    366.41/549.53 = 106.41/x
  3. Step 3: Cross multiply
    366.41x = 549.53 × 106.41
  4. Step 4: Simplify right side
    366.41x = 58,474.67
  5. Step 5: Solve for x
    x = 58,474.67/366.41
  6. Step 6: Final answer
    x = 159.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.