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Finding the Fourth Proportional to 163.38, 224.86 and 156.10

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Solution

The fourth proportional to 163.38, 224.86 and 156.10 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 224.86 = 156.10 : x
  2. Step 2: Convert to fraction form
    163.38/224.86 = 156.10/x
  3. Step 3: Cross multiply
    163.38x = 224.86 × 156.10
  4. Step 4: Simplify right side
    163.38x = 35,100.65
  5. Step 5: Solve for x
    x = 35,100.65/163.38
  6. Step 6: Final answer
    x = 214.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.