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Finding the Fourth Proportional to 370.24, 554.70 and 223.82

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Solution

The fourth proportional to 370.24, 554.70 and 223.82 is: 335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.24 : 554.70 = 223.82 : x
  2. Step 2: Convert to fraction form
    370.24/554.70 = 223.82/x
  3. Step 3: Cross multiply
    370.24x = 554.70 × 223.82
  4. Step 4: Simplify right side
    370.24x = 124,152.95
  5. Step 5: Solve for x
    x = 124,152.95/370.24
  6. Step 6: Final answer
    x = 335.33

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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.