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Finding the Fourth Proportional to 366.65, 549.61 and 122.98

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Solution

The fourth proportional to 366.65, 549.61 and 122.98 is: 184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.65 : 549.61 = 122.98 : x
  2. Step 2: Convert to fraction form
    366.65/549.61 = 122.98/x
  3. Step 3: Cross multiply
    366.65x = 549.61 × 122.98
  4. Step 4: Simplify right side
    366.65x = 67,587.67
  5. Step 5: Solve for x
    x = 67,587.67/366.65
  6. Step 6: Final answer
    x = 184.34

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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.