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Finding the Fourth Proportional to 156.23, 215.40 and 119.33

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Solution

The fourth proportional to 156.23, 215.40 and 119.33 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.23 : 215.40 = 119.33 : x
  2. Step 2: Convert to fraction form
    156.23/215.40 = 119.33/x
  3. Step 3: Cross multiply
    156.23x = 215.40 × 119.33
  4. Step 4: Simplify right side
    156.23x = 25,703.68
  5. Step 5: Solve for x
    x = 25,703.68/156.23
  6. Step 6: Final answer
    x = 164.52

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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.