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Finding the Fourth Proportional to 188.70, 282.33 and 164.22

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Solution

The fourth proportional to 188.70, 282.33 and 164.22 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.70 : 282.33 = 164.22 : x
  2. Step 2: Convert to fraction form
    188.70/282.33 = 164.22/x
  3. Step 3: Cross multiply
    188.70x = 282.33 × 164.22
  4. Step 4: Simplify right side
    188.70x = 46,364.23
  5. Step 5: Solve for x
    x = 46,364.23/188.70
  6. Step 6: Final answer
    x = 245.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.