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Finding the Fourth Proportional to 180.70, 269.99 and 138.77

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Solution

The fourth proportional to 180.70, 269.99 and 138.77 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 269.99 = 138.77 : x
  2. Step 2: Convert to fraction form
    180.70/269.99 = 138.77/x
  3. Step 3: Cross multiply
    180.70x = 269.99 × 138.77
  4. Step 4: Simplify right side
    180.70x = 37,466.51
  5. Step 5: Solve for x
    x = 37,466.51/180.70
  6. Step 6: Final answer
    x = 207.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.