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Finding the Fourth Proportional to 187.69, 280.78 and 162.29

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Solution

The fourth proportional to 187.69, 280.78 and 162.29 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 280.78 = 162.29 : x
  2. Step 2: Convert to fraction form
    187.69/280.78 = 162.29/x
  3. Step 3: Cross multiply
    187.69x = 280.78 × 162.29
  4. Step 4: Simplify right side
    187.69x = 45,566.79
  5. Step 5: Solve for x
    x = 45,566.79/187.69
  6. Step 6: Final answer
    x = 242.78

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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.