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Finding the Fourth Proportional to 188.03, 280.92 and 187.02

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Solution

The fourth proportional to 188.03, 280.92 and 187.02 is: 279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.03 : 280.92 = 187.02 : x
  2. Step 2: Convert to fraction form
    188.03/280.92 = 187.02/x
  3. Step 3: Cross multiply
    188.03x = 280.92 × 187.02
  4. Step 4: Simplify right side
    188.03x = 52,538.36
  5. Step 5: Solve for x
    x = 52,538.36/188.03
  6. Step 6: Final answer
    x = 279.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.