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Finding the Fourth Proportional to 395.84, 594.05 and 164.75

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Solution

The fourth proportional to 395.84, 594.05 and 164.75 is: 247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 594.05 = 164.75 : x
  2. Step 2: Convert to fraction form
    395.84/594.05 = 164.75/x
  3. Step 3: Cross multiply
    395.84x = 594.05 × 164.75
  4. Step 4: Simplify right side
    395.84x = 97,865.94
  5. Step 5: Solve for x
    x = 97,865.94/395.84
  6. Step 6: Final answer
    x = 247.24

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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.