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Finding the Fourth Proportional to 188.64, 281.52 and 178.92

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Solution

The fourth proportional to 188.64, 281.52 and 178.92 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 281.52 = 178.92 : x
  2. Step 2: Convert to fraction form
    188.64/281.52 = 178.92/x
  3. Step 3: Cross multiply
    188.64x = 281.52 × 178.92
  4. Step 4: Simplify right side
    188.64x = 50,369.56
  5. Step 5: Solve for x
    x = 50,369.56/188.64
  6. Step 6: Final answer
    x = 267.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.