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Finding the Fourth Proportional to 380.52, 570.96 and 188.12

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Solution

The fourth proportional to 380.52, 570.96 and 188.12 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 570.96 = 188.12 : x
  2. Step 2: Convert to fraction form
    380.52/570.96 = 188.12/x
  3. Step 3: Cross multiply
    380.52x = 570.96 × 188.12
  4. Step 4: Simplify right side
    380.52x = 107,409.00
  5. Step 5: Solve for x
    x = 107,409.00/380.52
  6. Step 6: Final answer
    x = 282.27

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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.