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Finding the Fourth Proportional to 188.52, 260.18 and 105.65

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Solution

The fourth proportional to 188.52, 260.18 and 105.65 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 260.18 = 105.65 : x
  2. Step 2: Convert to fraction form
    188.52/260.18 = 105.65/x
  3. Step 3: Cross multiply
    188.52x = 260.18 × 105.65
  4. Step 4: Simplify right side
    188.52x = 27,488.02
  5. Step 5: Solve for x
    x = 27,488.02/188.52
  6. Step 6: Final answer
    x = 145.81

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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.