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Finding the Fourth Proportional to 370.61, 555.87 and 197.63

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Solution

The fourth proportional to 370.61, 555.87 and 197.63 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.61 : 555.87 = 197.63 : x
  2. Step 2: Convert to fraction form
    370.61/555.87 = 197.63/x
  3. Step 3: Cross multiply
    370.61x = 555.87 × 197.63
  4. Step 4: Simplify right side
    370.61x = 109,856.59
  5. Step 5: Solve for x
    x = 109,856.59/370.61
  6. Step 6: Final answer
    x = 296.42

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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.