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Finding the Fourth Proportional to 156.42, 215.60 and 142.65

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Solution

The fourth proportional to 156.42, 215.60 and 142.65 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 215.60 = 142.65 : x
  2. Step 2: Convert to fraction form
    156.42/215.60 = 142.65/x
  3. Step 3: Cross multiply
    156.42x = 215.60 × 142.65
  4. Step 4: Simplify right side
    156.42x = 30,754.63
  5. Step 5: Solve for x
    x = 30,754.63/156.42
  6. Step 6: Final answer
    x = 196.62

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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.