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Finding the Fourth Proportional to 370.83, 511.71 and 205.05

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Solution

The fourth proportional to 370.83, 511.71 and 205.05 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.83 : 511.71 = 205.05 : x
  2. Step 2: Convert to fraction form
    370.83/511.71 = 205.05/x
  3. Step 3: Cross multiply
    370.83x = 511.71 × 205.05
  4. Step 4: Simplify right side
    370.83x = 104,926.14
  5. Step 5: Solve for x
    x = 104,926.14/370.83
  6. Step 6: Final answer
    x = 282.95

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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.