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Finding the Fourth Proportional to 366.51, 549.70 and 122.97

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Solution

The fourth proportional to 366.51, 549.70 and 122.97 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.51 : 549.70 = 122.97 : x
  2. Step 2: Convert to fraction form
    366.51/549.70 = 122.97/x
  3. Step 3: Cross multiply
    366.51x = 549.70 × 122.97
  4. Step 4: Simplify right side
    366.51x = 67,595.99
  5. Step 5: Solve for x
    x = 67,595.99/366.51
  6. Step 6: Final answer
    x = 184.43

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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.