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Finding the Fourth Proportional to 205.31, 307.69 and 183.51

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Solution

The fourth proportional to 205.31, 307.69 and 183.51 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 307.69 = 183.51 : x
  2. Step 2: Convert to fraction form
    205.31/307.69 = 183.51/x
  3. Step 3: Cross multiply
    205.31x = 307.69 × 183.51
  4. Step 4: Simplify right side
    205.31x = 56,464.19
  5. Step 5: Solve for x
    x = 56,464.19/205.31
  6. Step 6: Final answer
    x = 275.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.