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Finding the Fourth Proportional to 380.69, 570.68 and 164.42

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Solution

The fourth proportional to 380.69, 570.68 and 164.42 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.69 : 570.68 = 164.42 : x
  2. Step 2: Convert to fraction form
    380.69/570.68 = 164.42/x
  3. Step 3: Cross multiply
    380.69x = 570.68 × 164.42
  4. Step 4: Simplify right side
    380.69x = 93,830.38
  5. Step 5: Solve for x
    x = 93,830.38/380.69
  6. Step 6: Final answer
    x = 246.47

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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.