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Finding the Fourth Proportional to 156.77, 216.29 and 119.91

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Solution

The fourth proportional to 156.77, 216.29 and 119.91 is: 165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.77 : 216.29 = 119.91 : x
  2. Step 2: Convert to fraction form
    156.77/216.29 = 119.91/x
  3. Step 3: Cross multiply
    156.77x = 216.29 × 119.91
  4. Step 4: Simplify right side
    156.77x = 25,935.63
  5. Step 5: Solve for x
    x = 25,935.63/156.77
  6. Step 6: Final answer
    x = 165.44

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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.