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Finding the Fourth Proportional to 156.72, 216.60 and 142.14

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Solution

The fourth proportional to 156.72, 216.60 and 142.14 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 216.60 = 142.14 : x
  2. Step 2: Convert to fraction form
    156.72/216.60 = 142.14/x
  3. Step 3: Cross multiply
    156.72x = 216.60 × 142.14
  4. Step 4: Simplify right side
    156.72x = 30,787.52
  5. Step 5: Solve for x
    x = 30,787.52/156.72
  6. Step 6: Final answer
    x = 196.45

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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.