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Finding the Fourth Proportional to 370.95, 555.84 and 197.61

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Solution

The fourth proportional to 370.95, 555.84 and 197.61 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.95 : 555.84 = 197.61 : x
  2. Step 2: Convert to fraction form
    370.95/555.84 = 197.61/x
  3. Step 3: Cross multiply
    370.95x = 555.84 × 197.61
  4. Step 4: Simplify right side
    370.95x = 109,839.54
  5. Step 5: Solve for x
    x = 109,839.54/370.95
  6. Step 6: Final answer
    x = 296.10

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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.