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Finding the Fourth Proportional to 386.37, 578.75 and 169.70

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Solution

The fourth proportional to 386.37, 578.75 and 169.70 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 578.75 = 169.70 : x
  2. Step 2: Convert to fraction form
    386.37/578.75 = 169.70/x
  3. Step 3: Cross multiply
    386.37x = 578.75 × 169.70
  4. Step 4: Simplify right side
    386.37x = 98,210.13
  5. Step 5: Solve for x
    x = 98,210.13/386.37
  6. Step 6: Final answer
    x = 254.19

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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.