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Finding the Fourth Proportional to 188.52, 260.16 and 109.84

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Solution

The fourth proportional to 188.52, 260.16 and 109.84 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 260.16 = 109.84 : x
  2. Step 2: Convert to fraction form
    188.52/260.16 = 109.84/x
  3. Step 3: Cross multiply
    188.52x = 260.16 × 109.84
  4. Step 4: Simplify right side
    188.52x = 28,575.97
  5. Step 5: Solve for x
    x = 28,575.97/188.52
  6. Step 6: Final answer
    x = 151.58

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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.