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Finding the Fourth Proportional to 612.84, 919.36 and 180.04

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Solution

The fourth proportional to 612.84, 919.36 and 180.04 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 919.36 = 180.04 : x
  2. Step 2: Convert to fraction form
    612.84/919.36 = 180.04/x
  3. Step 3: Cross multiply
    612.84x = 919.36 × 180.04
  4. Step 4: Simplify right side
    612.84x = 165,521.57
  5. Step 5: Solve for x
    x = 165,521.57/612.84
  6. Step 6: Final answer
    x = 270.09

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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.