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Finding the Fourth Proportional to 162.25, 224.15 and 113.27

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Solution

The fourth proportional to 162.25, 224.15 and 113.27 is: 156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.25 : 224.15 = 113.27 : x
  2. Step 2: Convert to fraction form
    162.25/224.15 = 113.27/x
  3. Step 3: Cross multiply
    162.25x = 224.15 × 113.27
  4. Step 4: Simplify right side
    162.25x = 25,389.47
  5. Step 5: Solve for x
    x = 25,389.47/162.25
  6. Step 6: Final answer
    x = 156.48

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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.