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Finding the Fourth Proportional to 188.19, 280.98 and 160.83

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Solution

The fourth proportional to 188.19, 280.98 and 160.83 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 280.98 = 160.83 : x
  2. Step 2: Convert to fraction form
    188.19/280.98 = 160.83/x
  3. Step 3: Cross multiply
    188.19x = 280.98 × 160.83
  4. Step 4: Simplify right side
    188.19x = 45,190.01
  5. Step 5: Solve for x
    x = 45,190.01/188.19
  6. Step 6: Final answer
    x = 240.13

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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.