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Finding the Fourth Proportional to 275.30, 412.86 and 92.64

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Solution

The fourth proportional to 275.30, 412.86 and 92.64 is: 138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.30 : 412.86 = 92.64 : x
  2. Step 2: Convert to fraction form
    275.30/412.86 = 92.64/x
  3. Step 3: Cross multiply
    275.30x = 412.86 × 92.64
  4. Step 4: Simplify right side
    275.30x = 38,247.35
  5. Step 5: Solve for x
    x = 38,247.35/275.30
  6. Step 6: Final answer
    x = 138.93

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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.