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Finding the Fourth Proportional to 619.14, 928.74 and 186.30

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Solution

The fourth proportional to 619.14, 928.74 and 186.30 is: 279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 928.74 = 186.30 : x
  2. Step 2: Convert to fraction form
    619.14/928.74 = 186.30/x
  3. Step 3: Cross multiply
    619.14x = 928.74 × 186.30
  4. Step 4: Simplify right side
    619.14x = 173,024.26
  5. Step 5: Solve for x
    x = 173,024.26/619.14
  6. Step 6: Final answer
    x = 279.46

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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.