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Finding the Fourth Proportional to 156.29, 215.12 and 135.59

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Solution

The fourth proportional to 156.29, 215.12 and 135.59 is: 186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.29 : 215.12 = 135.59 : x
  2. Step 2: Convert to fraction form
    156.29/215.12 = 135.59/x
  3. Step 3: Cross multiply
    156.29x = 215.12 × 135.59
  4. Step 4: Simplify right side
    156.29x = 29,167.38
  5. Step 5: Solve for x
    x = 29,167.38/156.29
  6. Step 6: Final answer
    x = 186.63

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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.