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Finding the Fourth Proportional to 188.81, 260.53 and 105.91

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Solution

The fourth proportional to 188.81, 260.53 and 105.91 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.81 : 260.53 = 105.91 : x
  2. Step 2: Convert to fraction form
    188.81/260.53 = 105.91/x
  3. Step 3: Cross multiply
    188.81x = 260.53 × 105.91
  4. Step 4: Simplify right side
    188.81x = 27,592.73
  5. Step 5: Solve for x
    x = 27,592.73/188.81
  6. Step 6: Final answer
    x = 146.14

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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.