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Finding the Fourth Proportional to 366.46, 549.71 and 106.46

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Solution

The fourth proportional to 366.46, 549.71 and 106.46 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 549.71 = 106.46 : x
  2. Step 2: Convert to fraction form
    366.46/549.71 = 106.46/x
  3. Step 3: Cross multiply
    366.46x = 549.71 × 106.46
  4. Step 4: Simplify right side
    366.46x = 58,522.38
  5. Step 5: Solve for x
    x = 58,522.38/366.46
  6. Step 6: Final answer
    x = 159.70

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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.