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Finding the Fourth Proportional to 380.57, 570.71 and 164

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Solution

The fourth proportional to 380.57, 570.71 and 164 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.57 : 570.71 = 164 : x
  2. Step 2: Convert to fraction form
    380.57/570.71 = 164/x
  3. Step 3: Cross multiply
    380.57x = 570.71 × 164
  4. Step 4: Simplify right side
    380.57x = 93,596.44
  5. Step 5: Solve for x
    x = 93,596.44/380.57
  6. Step 6: Final answer
    x = 245.94

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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.