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Finding the Fourth Proportional to 412.72, 618.99 and 120.16

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Solution

The fourth proportional to 412.72, 618.99 and 120.16 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.72 : 618.99 = 120.16 : x
  2. Step 2: Convert to fraction form
    412.72/618.99 = 120.16/x
  3. Step 3: Cross multiply
    412.72x = 618.99 × 120.16
  4. Step 4: Simplify right side
    412.72x = 74,374.74
  5. Step 5: Solve for x
    x = 74,374.74/412.72
  6. Step 6: Final answer
    x = 180.21

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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.