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Finding the Fourth Proportional to 369.56, 554.42 and 186.84

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Solution

The fourth proportional to 369.56, 554.42 and 186.84 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 554.42 = 186.84 : x
  2. Step 2: Convert to fraction form
    369.56/554.42 = 186.84/x
  3. Step 3: Cross multiply
    369.56x = 554.42 × 186.84
  4. Step 4: Simplify right side
    369.56x = 103,588.30
  5. Step 5: Solve for x
    x = 103,588.30/369.56
  6. Step 6: Final answer
    x = 280.30

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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.