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Finding the Fourth Proportional to 188.76, 283.08 and 120.04

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Solution

The fourth proportional to 188.76, 283.08 and 120.04 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.76 : 283.08 = 120.04 : x
  2. Step 2: Convert to fraction form
    188.76/283.08 = 120.04/x
  3. Step 3: Cross multiply
    188.76x = 283.08 × 120.04
  4. Step 4: Simplify right side
    188.76x = 33,980.92
  5. Step 5: Solve for x
    x = 33,980.92/188.76
  6. Step 6: Final answer
    x = 180.02

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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.