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Finding the Fourth Proportional to 162.26, 242.78 and 97.29

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Solution

The fourth proportional to 162.26, 242.78 and 97.29 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.26 : 242.78 = 97.29 : x
  2. Step 2: Convert to fraction form
    162.26/242.78 = 97.29/x
  3. Step 3: Cross multiply
    162.26x = 242.78 × 97.29
  4. Step 4: Simplify right side
    162.26x = 23,620.07
  5. Step 5: Solve for x
    x = 23,620.07/162.26
  6. Step 6: Final answer
    x = 145.57

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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.