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Finding the Fourth Proportional to 170.19, 255.33 and 78.84

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Solution

The fourth proportional to 170.19, 255.33 and 78.84 is: 118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.19 : 255.33 = 78.84 : x
  2. Step 2: Convert to fraction form
    170.19/255.33 = 78.84/x
  3. Step 3: Cross multiply
    170.19x = 255.33 × 78.84
  4. Step 4: Simplify right side
    170.19x = 20,130.22
  5. Step 5: Solve for x
    x = 20,130.22/170.19
  6. Step 6: Final answer
    x = 118.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.