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Finding the Fourth Proportional to 275.01, 412.50 and 92.38

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Solution

The fourth proportional to 275.01, 412.50 and 92.38 is: 138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.01 : 412.50 = 92.38 : x
  2. Step 2: Convert to fraction form
    275.01/412.50 = 92.38/x
  3. Step 3: Cross multiply
    275.01x = 412.50 × 92.38
  4. Step 4: Simplify right side
    275.01x = 38,107.22
  5. Step 5: Solve for x
    x = 38,107.22/275.01
  6. Step 6: Final answer
    x = 138.57

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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.