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Finding the Fourth Proportional to 188.57, 260.01 and 126.29

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Solution

The fourth proportional to 188.57, 260.01 and 126.29 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.57 : 260.01 = 126.29 : x
  2. Step 2: Convert to fraction form
    188.57/260.01 = 126.29/x
  3. Step 3: Cross multiply
    188.57x = 260.01 × 126.29
  4. Step 4: Simplify right side
    188.57x = 32,837.31
  5. Step 5: Solve for x
    x = 32,837.31/188.57
  6. Step 6: Final answer
    x = 174.14

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