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Finding the Fourth Proportional to 375.26, 563.02 and 182.76

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Solution

The fourth proportional to 375.26, 563.02 and 182.76 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.26 : 563.02 = 182.76 : x
  2. Step 2: Convert to fraction form
    375.26/563.02 = 182.76/x
  3. Step 3: Cross multiply
    375.26x = 563.02 × 182.76
  4. Step 4: Simplify right side
    375.26x = 102,897.54
  5. Step 5: Solve for x
    x = 102,897.54/375.26
  6. Step 6: Final answer
    x = 274.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.