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Finding the Fourth Proportional to 192.16, 266.20 and 188.32

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Solution

The fourth proportional to 192.16, 266.20 and 188.32 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 266.20 = 188.32 : x
  2. Step 2: Convert to fraction form
    192.16/266.20 = 188.32/x
  3. Step 3: Cross multiply
    192.16x = 266.20 × 188.32
  4. Step 4: Simplify right side
    192.16x = 50,130.78
  5. Step 5: Solve for x
    x = 50,130.78/192.16
  6. Step 6: Final answer
    x = 260.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.