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Finding the Fourth Proportional to 366.82, 549.51 and 171.55

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Solution

The fourth proportional to 366.82, 549.51 and 171.55 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 549.51 = 171.55 : x
  2. Step 2: Convert to fraction form
    366.82/549.51 = 171.55/x
  3. Step 3: Cross multiply
    366.82x = 549.51 × 171.55
  4. Step 4: Simplify right side
    366.82x = 94,268.44
  5. Step 5: Solve for x
    x = 94,268.44/366.82
  6. Step 6: Final answer
    x = 256.99

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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.