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Finding the Fourth Proportional to 155.26, 213.29 and 141.10

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Solution

The fourth proportional to 155.26, 213.29 and 141.10 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.26 : 213.29 = 141.10 : x
  2. Step 2: Convert to fraction form
    155.26/213.29 = 141.10/x
  3. Step 3: Cross multiply
    155.26x = 213.29 × 141.10
  4. Step 4: Simplify right side
    155.26x = 30,095.22
  5. Step 5: Solve for x
    x = 30,095.22/155.26
  6. Step 6: Final answer
    x = 193.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.