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Finding the Fourth Proportional to 162.77, 224.43 and 131.59

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Solution

The fourth proportional to 162.77, 224.43 and 131.59 is: 181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.77 : 224.43 = 131.59 : x
  2. Step 2: Convert to fraction form
    162.77/224.43 = 131.59/x
  3. Step 3: Cross multiply
    162.77x = 224.43 × 131.59
  4. Step 4: Simplify right side
    162.77x = 29,532.93
  5. Step 5: Solve for x
    x = 29,532.93/162.77
  6. Step 6: Final answer
    x = 181.44

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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.