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Finding the Fourth Proportional to 205.13, 283.10 and 117.81

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Solution

The fourth proportional to 205.13, 283.10 and 117.81 is: 162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 283.10 = 117.81 : x
  2. Step 2: Convert to fraction form
    205.13/283.10 = 117.81/x
  3. Step 3: Cross multiply
    205.13x = 283.10 × 117.81
  4. Step 4: Simplify right side
    205.13x = 33,351.42
  5. Step 5: Solve for x
    x = 33,351.42/205.13
  6. Step 6: Final answer
    x = 162.59

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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.