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Finding the Fourth Proportional to 162.61, 244.15 and 131.83

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Solution

The fourth proportional to 162.61, 244.15 and 131.83 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 244.15 = 131.83 : x
  2. Step 2: Convert to fraction form
    162.61/244.15 = 131.83/x
  3. Step 3: Cross multiply
    162.61x = 244.15 × 131.83
  4. Step 4: Simplify right side
    162.61x = 32,185.35
  5. Step 5: Solve for x
    x = 32,185.35/162.61
  6. Step 6: Final answer
    x = 197.93

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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.