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Finding the Fourth Proportional to 370.42, 511.21 and 223.05

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Solution

The fourth proportional to 370.42, 511.21 and 223.05 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.21 = 223.05 : x
  2. Step 2: Convert to fraction form
    370.42/511.21 = 223.05/x
  3. Step 3: Cross multiply
    370.42x = 511.21 × 223.05
  4. Step 4: Simplify right side
    370.42x = 114,027.59
  5. Step 5: Solve for x
    x = 114,027.59/370.42
  6. Step 6: Final answer
    x = 307.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.