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Finding the Fourth Proportional to 188.82, 260.46 and 123.30

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Solution

The fourth proportional to 188.82, 260.46 and 123.30 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 260.46 = 123.30 : x
  2. Step 2: Convert to fraction form
    188.82/260.46 = 123.30/x
  3. Step 3: Cross multiply
    188.82x = 260.46 × 123.30
  4. Step 4: Simplify right side
    188.82x = 32,114.72
  5. Step 5: Solve for x
    x = 32,114.72/188.82
  6. Step 6: Final answer
    x = 170.08

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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.