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Finding the Fourth Proportional to 370.41, 555.95 and 197.22

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Solution

The fourth proportional to 370.41, 555.95 and 197.22 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.41 : 555.95 = 197.22 : x
  2. Step 2: Convert to fraction form
    370.41/555.95 = 197.22/x
  3. Step 3: Cross multiply
    370.41x = 555.95 × 197.22
  4. Step 4: Simplify right side
    370.41x = 109,645.85
  5. Step 5: Solve for x
    x = 109,645.85/370.41
  6. Step 6: Final answer
    x = 296.01

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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.