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Finding the Fourth Proportional to 205.90, 284.06 and 118.52

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Solution

The fourth proportional to 205.90, 284.06 and 118.52 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 284.06 = 118.52 : x
  2. Step 2: Convert to fraction form
    205.90/284.06 = 118.52/x
  3. Step 3: Cross multiply
    205.90x = 284.06 × 118.52
  4. Step 4: Simplify right side
    205.90x = 33,666.79
  5. Step 5: Solve for x
    x = 33,666.79/205.90
  6. Step 6: Final answer
    x = 163.51

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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.