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Finding the Fourth Proportional to 162.09, 242.85 and 147.95

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Solution

The fourth proportional to 162.09, 242.85 and 147.95 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 242.85 = 147.95 : x
  2. Step 2: Convert to fraction form
    162.09/242.85 = 147.95/x
  3. Step 3: Cross multiply
    162.09x = 242.85 × 147.95
  4. Step 4: Simplify right side
    162.09x = 35,928.44
  5. Step 5: Solve for x
    x = 35,928.44/162.09
  6. Step 6: Final answer
    x = 221.66

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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.