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Finding the Fourth Proportional to 380.23, 570.36 and 163.66

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Solution

The fourth proportional to 380.23, 570.36 and 163.66 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 570.36 = 163.66 : x
  2. Step 2: Convert to fraction form
    380.23/570.36 = 163.66/x
  3. Step 3: Cross multiply
    380.23x = 570.36 × 163.66
  4. Step 4: Simplify right side
    380.23x = 93,345.12
  5. Step 5: Solve for x
    x = 93,345.12/380.23
  6. Step 6: Final answer
    x = 245.50

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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.