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Finding the Fourth Proportional to 370.86, 555.81 and 199.50

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Solution

The fourth proportional to 370.86, 555.81 and 199.50 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 555.81 = 199.50 : x
  2. Step 2: Convert to fraction form
    370.86/555.81 = 199.50/x
  3. Step 3: Cross multiply
    370.86x = 555.81 × 199.50
  4. Step 4: Simplify right side
    370.86x = 110,884.10
  5. Step 5: Solve for x
    x = 110,884.10/370.86
  6. Step 6: Final answer
    x = 298.99

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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.