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Finding the Fourth Proportional to 370.54, 511.40 and 221.16

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Solution

The fourth proportional to 370.54, 511.40 and 221.16 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 511.40 = 221.16 : x
  2. Step 2: Convert to fraction form
    370.54/511.40 = 221.16/x
  3. Step 3: Cross multiply
    370.54x = 511.40 × 221.16
  4. Step 4: Simplify right side
    370.54x = 113,103.69
  5. Step 5: Solve for x
    x = 113,103.69/370.54
  6. Step 6: Final answer
    x = 305.24

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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.