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Finding the Fourth Proportional to 156.40, 215.54 and 119.64

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Solution

The fourth proportional to 156.40, 215.54 and 119.64 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.40 : 215.54 = 119.64 : x
  2. Step 2: Convert to fraction form
    156.40/215.54 = 119.64/x
  3. Step 3: Cross multiply
    156.40x = 215.54 × 119.64
  4. Step 4: Simplify right side
    156.40x = 25,787.21
  5. Step 5: Solve for x
    x = 25,787.21/156.40
  6. Step 6: Final answer
    x = 164.88

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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.