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Finding the Fourth Proportional to 369.94, 554.80 and 126.46

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Solution

The fourth proportional to 369.94, 554.80 and 126.46 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 554.80 = 126.46 : x
  2. Step 2: Convert to fraction form
    369.94/554.80 = 126.46/x
  3. Step 3: Cross multiply
    369.94x = 554.80 × 126.46
  4. Step 4: Simplify right side
    369.94x = 70,160.01
  5. Step 5: Solve for x
    x = 70,160.01/369.94
  6. Step 6: Final answer
    x = 189.65

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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.