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Finding the Fourth Proportional to 380.16, 570.36 and 163.74

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Solution

The fourth proportional to 380.16, 570.36 and 163.74 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 570.36 = 163.74 : x
  2. Step 2: Convert to fraction form
    380.16/570.36 = 163.74/x
  3. Step 3: Cross multiply
    380.16x = 570.36 × 163.74
  4. Step 4: Simplify right side
    380.16x = 93,390.75
  5. Step 5: Solve for x
    x = 93,390.75/380.16
  6. Step 6: Final answer
    x = 245.66

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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.