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Finding the Fourth Proportional to 188.36, 283.09 and 156.06

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Solution

The fourth proportional to 188.36, 283.09 and 156.06 is: 234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 283.09 = 156.06 : x
  2. Step 2: Convert to fraction form
    188.36/283.09 = 156.06/x
  3. Step 3: Cross multiply
    188.36x = 283.09 × 156.06
  4. Step 4: Simplify right side
    188.36x = 44,179.46
  5. Step 5: Solve for x
    x = 44,179.46/188.36
  6. Step 6: Final answer
    x = 234.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.