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Finding the Fourth Proportional to 369.82, 554.72 and 113.32

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Solution

The fourth proportional to 369.82, 554.72 and 113.32 is: 169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 554.72 = 113.32 : x
  2. Step 2: Convert to fraction form
    369.82/554.72 = 113.32/x
  3. Step 3: Cross multiply
    369.82x = 554.72 × 113.32
  4. Step 4: Simplify right side
    369.82x = 62,860.87
  5. Step 5: Solve for x
    x = 62,860.87/369.82
  6. Step 6: Final answer
    x = 169.98

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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.