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Finding the Fourth Proportional to 366.10, 549.14 and 109.60

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Solution

The fourth proportional to 366.10, 549.14 and 109.60 is: 164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 549.14 = 109.60 : x
  2. Step 2: Convert to fraction form
    366.10/549.14 = 109.60/x
  3. Step 3: Cross multiply
    366.10x = 549.14 × 109.60
  4. Step 4: Simplify right side
    366.10x = 60,184.65
  5. Step 5: Solve for x
    x = 60,184.65/366.10
  6. Step 6: Final answer
    x = 164.40

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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.