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Finding the Fourth Proportional to 188.51, 260.14 and 109.82

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Solution

The fourth proportional to 188.51, 260.14 and 109.82 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.51 : 260.14 = 109.82 : x
  2. Step 2: Convert to fraction form
    188.51/260.14 = 109.82/x
  3. Step 3: Cross multiply
    188.51x = 260.14 × 109.82
  4. Step 4: Simplify right side
    188.51x = 28,567.75
  5. Step 5: Solve for x
    x = 28,567.75/188.51
  6. Step 6: Final answer
    x = 151.54

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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.