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Finding the Fourth Proportional to 162.09, 242.58 and 132.86

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Solution

The fourth proportional to 162.09, 242.58 and 132.86 is: 198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 242.58 = 132.86 : x
  2. Step 2: Convert to fraction form
    162.09/242.58 = 132.86/x
  3. Step 3: Cross multiply
    162.09x = 242.58 × 132.86
  4. Step 4: Simplify right side
    162.09x = 32,229.18
  5. Step 5: Solve for x
    x = 32,229.18/162.09
  6. Step 6: Final answer
    x = 198.84

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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.