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Finding the Fourth Proportional to 187.28, 279.68 and 162.96

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Solution

The fourth proportional to 187.28, 279.68 and 162.96 is: 243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.28 : 279.68 = 162.96 : x
  2. Step 2: Convert to fraction form
    187.28/279.68 = 162.96/x
  3. Step 3: Cross multiply
    187.28x = 279.68 × 162.96
  4. Step 4: Simplify right side
    187.28x = 45,576.65
  5. Step 5: Solve for x
    x = 45,576.65/187.28
  6. Step 6: Final answer
    x = 243.36

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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.