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Finding the Fourth Proportional to 370.99, 511.93 and 205.17

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Solution

The fourth proportional to 370.99, 511.93 and 205.17 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.99 : 511.93 = 205.17 : x
  2. Step 2: Convert to fraction form
    370.99/511.93 = 205.17/x
  3. Step 3: Cross multiply
    370.99x = 511.93 × 205.17
  4. Step 4: Simplify right side
    370.99x = 105,032.68
  5. Step 5: Solve for x
    x = 105,032.68/370.99
  6. Step 6: Final answer
    x = 283.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.