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Finding the Fourth Proportional to 275.16, 379.66 and 192.24

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Solution

The fourth proportional to 275.16, 379.66 and 192.24 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 379.66 = 192.24 : x
  2. Step 2: Convert to fraction form
    275.16/379.66 = 192.24/x
  3. Step 3: Cross multiply
    275.16x = 379.66 × 192.24
  4. Step 4: Simplify right side
    275.16x = 72,986.32
  5. Step 5: Solve for x
    x = 72,986.32/275.16
  6. Step 6: Final answer
    x = 265.25

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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.