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Finding the Fourth Proportional to 329.78, 455.07 and 182.40

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Solution

The fourth proportional to 329.78, 455.07 and 182.40 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 455.07 = 182.40 : x
  2. Step 2: Convert to fraction form
    329.78/455.07 = 182.40/x
  3. Step 3: Cross multiply
    329.78x = 455.07 × 182.40
  4. Step 4: Simplify right side
    329.78x = 83,004.77
  5. Step 5: Solve for x
    x = 83,004.77/329.78
  6. Step 6: Final answer
    x = 251.70

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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.