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Finding the Fourth Proportional to 205.02, 282.94 and 116.51

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Solution

The fourth proportional to 205.02, 282.94 and 116.51 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 282.94 = 116.51 : x
  2. Step 2: Convert to fraction form
    205.02/282.94 = 116.51/x
  3. Step 3: Cross multiply
    205.02x = 282.94 × 116.51
  4. Step 4: Simplify right side
    205.02x = 32,963.63
  5. Step 5: Solve for x
    x = 32,963.63/205.02
  6. Step 6: Final answer
    x = 160.78

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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.