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Finding the Fourth Proportional to 156.26, 215.74 and 135.38

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Solution

The fourth proportional to 156.26, 215.74 and 135.38 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 215.74 = 135.38 : x
  2. Step 2: Convert to fraction form
    156.26/215.74 = 135.38/x
  3. Step 3: Cross multiply
    156.26x = 215.74 × 135.38
  4. Step 4: Simplify right side
    156.26x = 29,206.88
  5. Step 5: Solve for x
    x = 29,206.88/156.26
  6. Step 6: Final answer
    x = 186.91

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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.