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Finding the Fourth Proportional to 205.32, 283.32 and 117.98

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Solution

The fourth proportional to 205.32, 283.32 and 117.98 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 283.32 = 117.98 : x
  2. Step 2: Convert to fraction form
    205.32/283.32 = 117.98/x
  3. Step 3: Cross multiply
    205.32x = 283.32 × 117.98
  4. Step 4: Simplify right side
    205.32x = 33,426.09
  5. Step 5: Solve for x
    x = 33,426.09/205.32
  6. Step 6: Final answer
    x = 162.80

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Why These Related Problems?

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