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Finding the Fourth Proportional to 408.16, 612.08 and 180

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Solution

The fourth proportional to 408.16, 612.08 and 180 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 612.08 = 180 : x
  2. Step 2: Convert to fraction form
    408.16/612.08 = 180/x
  3. Step 3: Cross multiply
    408.16x = 612.08 × 180
  4. Step 4: Simplify right side
    408.16x = 110,174.40
  5. Step 5: Solve for x
    x = 110,174.40/408.16
  6. Step 6: Final answer
    x = 269.93

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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.