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Finding the Fourth Proportional to 188.52, 282.93 and 120.16

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Solution

The fourth proportional to 188.52, 282.93 and 120.16 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 282.93 = 120.16 : x
  2. Step 2: Convert to fraction form
    188.52/282.93 = 120.16/x
  3. Step 3: Cross multiply
    188.52x = 282.93 × 120.16
  4. Step 4: Simplify right side
    188.52x = 33,996.87
  5. Step 5: Solve for x
    x = 33,996.87/188.52
  6. Step 6: Final answer
    x = 180.34

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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.