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Finding the Fourth Proportional to 375.34, 562.92 and 182.92

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Solution

The fourth proportional to 375.34, 562.92 and 182.92 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 562.92 = 182.92 : x
  2. Step 2: Convert to fraction form
    375.34/562.92 = 182.92/x
  3. Step 3: Cross multiply
    375.34x = 562.92 × 182.92
  4. Step 4: Simplify right side
    375.34x = 102,969.33
  5. Step 5: Solve for x
    x = 102,969.33/375.34
  6. Step 6: Final answer
    x = 274.34

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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.