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Finding the Fourth Proportional to 370.98, 555.06 and 224.19

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Solution

The fourth proportional to 370.98, 555.06 and 224.19 is: 335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.98 : 555.06 = 224.19 : x
  2. Step 2: Convert to fraction form
    370.98/555.06 = 224.19/x
  3. Step 3: Cross multiply
    370.98x = 555.06 × 224.19
  4. Step 4: Simplify right side
    370.98x = 124,438.90
  5. Step 5: Solve for x
    x = 124,438.90/370.98
  6. Step 6: Final answer
    x = 335.43

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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.