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Finding the Fourth Proportional to 619.15, 928.85 and 180.40

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Solution

The fourth proportional to 619.15, 928.85 and 180.40 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.15 : 928.85 = 180.40 : x
  2. Step 2: Convert to fraction form
    619.15/928.85 = 180.40/x
  3. Step 3: Cross multiply
    619.15x = 928.85 × 180.40
  4. Step 4: Simplify right side
    619.15x = 167,564.54
  5. Step 5: Solve for x
    x = 167,564.54/619.15
  6. Step 6: Final answer
    x = 270.64

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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.