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Finding the Fourth Proportional to 156.57, 215.42 and 135.78

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Solution

The fourth proportional to 156.57, 215.42 and 135.78 is: 186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 215.42 = 135.78 : x
  2. Step 2: Convert to fraction form
    156.57/215.42 = 135.78/x
  3. Step 3: Cross multiply
    156.57x = 215.42 × 135.78
  4. Step 4: Simplify right side
    156.57x = 29,249.05
  5. Step 5: Solve for x
    x = 29,249.05/156.57
  6. Step 6: Final answer
    x = 186.81

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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.