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Finding the Fourth Proportional to 188.78, 282.98 and 123.81

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Solution

The fourth proportional to 188.78, 282.98 and 123.81 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.78 : 282.98 = 123.81 : x
  2. Step 2: Convert to fraction form
    188.78/282.98 = 123.81/x
  3. Step 3: Cross multiply
    188.78x = 282.98 × 123.81
  4. Step 4: Simplify right side
    188.78x = 35,036.06
  5. Step 5: Solve for x
    x = 35,036.06/188.78
  6. Step 6: Final answer
    x = 185.59

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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.