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Finding the Fourth Proportional to 370.34, 555.38 and 126.80

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Solution

The fourth proportional to 370.34, 555.38 and 126.80 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.34 : 555.38 = 126.80 : x
  2. Step 2: Convert to fraction form
    370.34/555.38 = 126.80/x
  3. Step 3: Cross multiply
    370.34x = 555.38 × 126.80
  4. Step 4: Simplify right side
    370.34x = 70,418.77
  5. Step 5: Solve for x
    x = 70,418.77/370.34
  6. Step 6: Final answer
    x = 190.15

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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.