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Finding the Fourth Proportional to 188.84, 281.50 and 178.48

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Solution

The fourth proportional to 188.84, 281.50 and 178.48 is: 266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.84 : 281.50 = 178.48 : x
  2. Step 2: Convert to fraction form
    188.84/281.50 = 178.48/x
  3. Step 3: Cross multiply
    188.84x = 281.50 × 178.48
  4. Step 4: Simplify right side
    188.84x = 50,242.12
  5. Step 5: Solve for x
    x = 50,242.12/188.84
  6. Step 6: Final answer
    x = 266.06

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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.