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Finding the Fourth Proportional to 366.79, 549.00 and 193.21

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Solution

The fourth proportional to 366.79, 549.00 and 193.21 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.79 : 549.00 = 193.21 : x
  2. Step 2: Convert to fraction form
    366.79/549.00 = 193.21/x
  3. Step 3: Cross multiply
    366.79x = 549.00 × 193.21
  4. Step 4: Simplify right side
    366.79x = 106,073.70
  5. Step 5: Solve for x
    x = 106,073.70/366.79
  6. Step 6: Final answer
    x = 289.20

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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.