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Finding the Fourth Proportional to 180.99, 249.75 and 107.35

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Solution

The fourth proportional to 180.99, 249.75 and 107.35 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 249.75 = 107.35 : x
  2. Step 2: Convert to fraction form
    180.99/249.75 = 107.35/x
  3. Step 3: Cross multiply
    180.99x = 249.75 × 107.35
  4. Step 4: Simplify right side
    180.99x = 26,810.66
  5. Step 5: Solve for x
    x = 26,810.66/180.99
  6. Step 6: Final answer
    x = 148.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.