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Finding the Fourth Proportional to 205.68, 283.56 and 170.58

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Solution

The fourth proportional to 205.68, 283.56 and 170.58 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 283.56 = 170.58 : x
  2. Step 2: Convert to fraction form
    205.68/283.56 = 170.58/x
  3. Step 3: Cross multiply
    205.68x = 283.56 × 170.58
  4. Step 4: Simplify right side
    205.68x = 48,369.66
  5. Step 5: Solve for x
    x = 48,369.66/205.68
  6. Step 6: Final answer
    x = 235.17

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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.