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Finding the Fourth Proportional to 188.13, 259.67 and 110.55

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Solution

The fourth proportional to 188.13, 259.67 and 110.55 is: 152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.13 : 259.67 = 110.55 : x
  2. Step 2: Convert to fraction form
    188.13/259.67 = 110.55/x
  3. Step 3: Cross multiply
    188.13x = 259.67 × 110.55
  4. Step 4: Simplify right side
    188.13x = 28,706.52
  5. Step 5: Solve for x
    x = 28,706.52/188.13
  6. Step 6: Final answer
    x = 152.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.