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Finding the Fourth Proportional to 369.55, 554.30 and 186.80

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Solution

The fourth proportional to 369.55, 554.30 and 186.80 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.55 : 554.30 = 186.80 : x
  2. Step 2: Convert to fraction form
    369.55/554.30 = 186.80/x
  3. Step 3: Cross multiply
    369.55x = 554.30 × 186.80
  4. Step 4: Simplify right side
    369.55x = 103,542.31
  5. Step 5: Solve for x
    x = 103,542.31/369.55
  6. Step 6: Final answer
    x = 280.19

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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.