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Finding the Fourth Proportional to 412.96, 619.24 and 135.22

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Solution

The fourth proportional to 412.96, 619.24 and 135.22 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 619.24 = 135.22 : x
  2. Step 2: Convert to fraction form
    412.96/619.24 = 135.22/x
  3. Step 3: Cross multiply
    412.96x = 619.24 × 135.22
  4. Step 4: Simplify right side
    412.96x = 83,733.63
  5. Step 5: Solve for x
    x = 83,733.63/412.96
  6. Step 6: Final answer
    x = 202.76

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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.