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Finding the Fourth Proportional to 366.28, 549.14 and 171.41

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Solution

The fourth proportional to 366.28, 549.14 and 171.41 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.28 : 549.14 = 171.41 : x
  2. Step 2: Convert to fraction form
    366.28/549.14 = 171.41/x
  3. Step 3: Cross multiply
    366.28x = 549.14 × 171.41
  4. Step 4: Simplify right side
    366.28x = 94,124.48
  5. Step 5: Solve for x
    x = 94,124.48/366.28
  6. Step 6: Final answer
    x = 256.98

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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.