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Finding the Fourth Proportional to 370.81, 511.71 and 205

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Solution

The fourth proportional to 370.81, 511.71 and 205 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.81 : 511.71 = 205 : x
  2. Step 2: Convert to fraction form
    370.81/511.71 = 205/x
  3. Step 3: Cross multiply
    370.81x = 511.71 × 205
  4. Step 4: Simplify right side
    370.81x = 104,900.55
  5. Step 5: Solve for x
    x = 104,900.55/370.81
  6. Step 6: Final answer
    x = 282.90

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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.