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Finding the Fourth Proportional to 619.82, 929.51 and 180.95

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Solution

The fourth proportional to 619.82, 929.51 and 180.95 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.82 : 929.51 = 180.95 : x
  2. Step 2: Convert to fraction form
    619.82/929.51 = 180.95/x
  3. Step 3: Cross multiply
    619.82x = 929.51 × 180.95
  4. Step 4: Simplify right side
    619.82x = 168,189.28
  5. Step 5: Solve for x
    x = 168,189.28/619.82
  6. Step 6: Final answer
    x = 271.35

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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.