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Finding the Fourth Proportional to 188.50, 260 and 110.82

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Solution

The fourth proportional to 188.50, 260 and 110.82 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.50 : 260 = 110.82 : x
  2. Step 2: Convert to fraction form
    188.50/260 = 110.82/x
  3. Step 3: Cross multiply
    188.50x = 260 × 110.82
  4. Step 4: Simplify right side
    188.50x = 28,813.20
  5. Step 5: Solve for x
    x = 28,813.20/188.50
  6. Step 6: Final answer
    x = 152.86

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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.