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Finding the Fourth Proportional to 188.75, 260.48 and 123.37

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Solution

The fourth proportional to 188.75, 260.48 and 123.37 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.75 : 260.48 = 123.37 : x
  2. Step 2: Convert to fraction form
    188.75/260.48 = 123.37/x
  3. Step 3: Cross multiply
    188.75x = 260.48 × 123.37
  4. Step 4: Simplify right side
    188.75x = 32,135.42
  5. Step 5: Solve for x
    x = 32,135.42/188.75
  6. Step 6: Final answer
    x = 170.25

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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.