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Finding the Fourth Proportional to 155.23, 214.02 and 118.33

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Solution

The fourth proportional to 155.23, 214.02 and 118.33 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.23 : 214.02 = 118.33 : x
  2. Step 2: Convert to fraction form
    155.23/214.02 = 118.33/x
  3. Step 3: Cross multiply
    155.23x = 214.02 × 118.33
  4. Step 4: Simplify right side
    155.23x = 25,324.45
  5. Step 5: Solve for x
    x = 25,324.45/155.23
  6. Step 6: Final answer
    x = 163.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.