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Finding the Fourth Proportional to 255.03, 351.38 and 180.32

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Solution

The fourth proportional to 255.03, 351.38 and 180.32 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.03 : 351.38 = 180.32 : x
  2. Step 2: Convert to fraction form
    255.03/351.38 = 180.32/x
  3. Step 3: Cross multiply
    255.03x = 351.38 × 180.32
  4. Step 4: Simplify right side
    255.03x = 63,358.18
  5. Step 5: Solve for x
    x = 63,358.18/255.03
  6. Step 6: Final answer
    x = 248.43

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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.