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Finding the Fourth Proportional to 370.38, 511.05 and 223.01

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Solution

The fourth proportional to 370.38, 511.05 and 223.01 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 511.05 = 223.01 : x
  2. Step 2: Convert to fraction form
    370.38/511.05 = 223.01/x
  3. Step 3: Cross multiply
    370.38x = 511.05 × 223.01
  4. Step 4: Simplify right side
    370.38x = 113,970.54
  5. Step 5: Solve for x
    x = 113,970.54/370.38
  6. Step 6: Final answer
    x = 307.72

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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.