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Finding the Fourth Proportional to 370.94, 511.84 and 205.14

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Solution

The fourth proportional to 370.94, 511.84 and 205.14 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 511.84 = 205.14 : x
  2. Step 2: Convert to fraction form
    370.94/511.84 = 205.14/x
  3. Step 3: Cross multiply
    370.94x = 511.84 × 205.14
  4. Step 4: Simplify right side
    370.94x = 104,998.86
  5. Step 5: Solve for x
    x = 104,998.86/370.94
  6. Step 6: Final answer
    x = 283.06

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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.