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Finding the Fourth Proportional to 619.44, 929.10 and 157.20

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Solution

The fourth proportional to 619.44, 929.10 and 157.20 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.44 : 929.10 = 157.20 : x
  2. Step 2: Convert to fraction form
    619.44/929.10 = 157.20/x
  3. Step 3: Cross multiply
    619.44x = 929.10 × 157.20
  4. Step 4: Simplify right side
    619.44x = 146,054.52
  5. Step 5: Solve for x
    x = 146,054.52/619.44
  6. Step 6: Final answer
    x = 235.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.