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Finding the Fourth Proportional to 162.28, 242.26 and 141.80

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Solution

The fourth proportional to 162.28, 242.26 and 141.80 is: 211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.28 : 242.26 = 141.80 : x
  2. Step 2: Convert to fraction form
    162.28/242.26 = 141.80/x
  3. Step 3: Cross multiply
    162.28x = 242.26 × 141.80
  4. Step 4: Simplify right side
    162.28x = 34,352.47
  5. Step 5: Solve for x
    x = 34,352.47/162.28
  6. Step 6: Final answer
    x = 211.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.