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Finding the Fourth Proportional to 412.32, 618.16 and 196

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Solution

The fourth proportional to 412.32, 618.16 and 196 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 618.16 = 196 : x
  2. Step 2: Convert to fraction form
    412.32/618.16 = 196/x
  3. Step 3: Cross multiply
    412.32x = 618.16 × 196
  4. Step 4: Simplify right side
    412.32x = 121,159.36
  5. Step 5: Solve for x
    x = 121,159.36/412.32
  6. Step 6: Final answer
    x = 293.85

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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.