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Finding the Fourth Proportional to 275.06, 412.06 and 137.77

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Solution

The fourth proportional to 275.06, 412.06 and 137.77 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 412.06 = 137.77 : x
  2. Step 2: Convert to fraction form
    275.06/412.06 = 137.77/x
  3. Step 3: Cross multiply
    275.06x = 412.06 × 137.77
  4. Step 4: Simplify right side
    275.06x = 56,769.51
  5. Step 5: Solve for x
    x = 56,769.51/275.06
  6. Step 6: Final answer
    x = 206.39

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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.