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Finding the Fourth Proportional to 612.98, 919.65 and 180.14

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Solution

The fourth proportional to 612.98, 919.65 and 180.14 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.98 : 919.65 = 180.14 : x
  2. Step 2: Convert to fraction form
    612.98/919.65 = 180.14/x
  3. Step 3: Cross multiply
    612.98x = 919.65 × 180.14
  4. Step 4: Simplify right side
    612.98x = 165,667.00
  5. Step 5: Solve for x
    x = 165,667.00/612.98
  6. Step 6: Final answer
    x = 270.26

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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.