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Finding the Fourth Proportional to 188.57, 283.06 and 116.48

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Solution

The fourth proportional to 188.57, 283.06 and 116.48 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.57 : 283.06 = 116.48 : x
  2. Step 2: Convert to fraction form
    188.57/283.06 = 116.48/x
  3. Step 3: Cross multiply
    188.57x = 283.06 × 116.48
  4. Step 4: Simplify right side
    188.57x = 32,970.83
  5. Step 5: Solve for x
    x = 32,970.83/188.57
  6. Step 6: Final answer
    x = 174.85

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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.