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Finding the Fourth Proportional to 619.16, 928.59 and 180.30

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Solution

The fourth proportional to 619.16, 928.59 and 180.30 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.16 : 928.59 = 180.30 : x
  2. Step 2: Convert to fraction form
    619.16/928.59 = 180.30/x
  3. Step 3: Cross multiply
    619.16x = 928.59 × 180.30
  4. Step 4: Simplify right side
    619.16x = 167,424.78
  5. Step 5: Solve for x
    x = 167,424.78/619.16
  6. Step 6: Final answer
    x = 270.41

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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.