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Finding the Fourth Proportional to 170.84, 255.02 and 167.60

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Solution

The fourth proportional to 170.84, 255.02 and 167.60 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.84 : 255.02 = 167.60 : x
  2. Step 2: Convert to fraction form
    170.84/255.02 = 167.60/x
  3. Step 3: Cross multiply
    170.84x = 255.02 × 167.60
  4. Step 4: Simplify right side
    170.84x = 42,741.15
  5. Step 5: Solve for x
    x = 42,741.15/170.84
  6. Step 6: Final answer
    x = 250.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.