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Finding the Fourth Proportional to 205.08, 282.99 and 117.75

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Solution

The fourth proportional to 205.08, 282.99 and 117.75 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 282.99 = 117.75 : x
  2. Step 2: Convert to fraction form
    205.08/282.99 = 117.75/x
  3. Step 3: Cross multiply
    205.08x = 282.99 × 117.75
  4. Step 4: Simplify right side
    205.08x = 33,322.07
  5. Step 5: Solve for x
    x = 33,322.07/205.08
  6. Step 6: Final answer
    x = 162.48

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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.