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Finding the Fourth Proportional to 237.63, 328.07 and 182.26

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Solution

The fourth proportional to 237.63, 328.07 and 182.26 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 328.07 = 182.26 : x
  2. Step 2: Convert to fraction form
    237.63/328.07 = 182.26/x
  3. Step 3: Cross multiply
    237.63x = 328.07 × 182.26
  4. Step 4: Simplify right side
    237.63x = 59,793.67
  5. Step 5: Solve for x
    x = 59,793.67/237.63
  6. Step 6: Final answer
    x = 251.63

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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.