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Finding the Fourth Proportional to 275.76, 380.64 and 192.96

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Solution

The fourth proportional to 275.76, 380.64 and 192.96 is: 266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 380.64 = 192.96 : x
  2. Step 2: Convert to fraction form
    275.76/380.64 = 192.96/x
  3. Step 3: Cross multiply
    275.76x = 380.64 × 192.96
  4. Step 4: Simplify right side
    275.76x = 73,448.29
  5. Step 5: Solve for x
    x = 73,448.29/275.76
  6. Step 6: Final answer
    x = 266.35

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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.