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Finding the Fourth Proportional to 205.00, 309.62 and 205.00

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Solution

The fourth proportional to 205.00, 309.62 and 205.00 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.00 : 309.62 = 205.00 : x
  2. Step 2: Convert to fraction form
    205.00/309.62 = 205.00/x
  3. Step 3: Cross multiply
    205.00x = 309.62 × 205.00
  4. Step 4: Simplify right side
    205.00x = 63,471.84
  5. Step 5: Solve for x
    x = 63,471.84/205.00
  6. Step 6: Final answer
    x = 309.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.