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Finding the Fourth Proportional to 370.70, 511.65 and 223.40

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Solution

The fourth proportional to 370.70, 511.65 and 223.40 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.70 : 511.65 = 223.40 : x
  2. Step 2: Convert to fraction form
    370.70/511.65 = 223.40/x
  3. Step 3: Cross multiply
    370.70x = 511.65 × 223.40
  4. Step 4: Simplify right side
    370.70x = 114,300.05
  5. Step 5: Solve for x
    x = 114,300.05/370.70
  6. Step 6: Final answer
    x = 308.34

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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.