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Finding the Fourth Proportional to 188.36, 260.42 and 144.84

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Solution

The fourth proportional to 188.36, 260.42 and 144.84 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 260.42 = 144.84 : x
  2. Step 2: Convert to fraction form
    188.36/260.42 = 144.84/x
  3. Step 3: Cross multiply
    188.36x = 260.42 × 144.84
  4. Step 4: Simplify right side
    188.36x = 37,719.23
  5. Step 5: Solve for x
    x = 37,719.23/188.36
  6. Step 6: Final answer
    x = 200.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.