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Finding the Fourth Proportional to 188.19, 259.42 and 135.71

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Solution

The fourth proportional to 188.19, 259.42 and 135.71 is: 187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 259.42 = 135.71 : x
  2. Step 2: Convert to fraction form
    188.19/259.42 = 135.71/x
  3. Step 3: Cross multiply
    188.19x = 259.42 × 135.71
  4. Step 4: Simplify right side
    188.19x = 35,205.21
  5. Step 5: Solve for x
    x = 35,205.21/188.19
  6. Step 6: Final answer
    x = 187.07

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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.