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Finding the Fourth Proportional to 188.91, 260.69 and 106.02

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Solution

The fourth proportional to 188.91, 260.69 and 106.02 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.91 : 260.69 = 106.02 : x
  2. Step 2: Convert to fraction form
    188.91/260.69 = 106.02/x
  3. Step 3: Cross multiply
    188.91x = 260.69 × 106.02
  4. Step 4: Simplify right side
    188.91x = 27,639.27
  5. Step 5: Solve for x
    x = 27,639.27/188.91
  6. Step 6: Final answer
    x = 146.31

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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.