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Finding the Fourth Proportional to 156.46, 216.12 and 127.48

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Solution

The fourth proportional to 156.46, 216.12 and 127.48 is: 176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.46 : 216.12 = 127.48 : x
  2. Step 2: Convert to fraction form
    156.46/216.12 = 127.48/x
  3. Step 3: Cross multiply
    156.46x = 216.12 × 127.48
  4. Step 4: Simplify right side
    156.46x = 27,550.98
  5. Step 5: Solve for x
    x = 27,550.98/156.46
  6. Step 6: Final answer
    x = 176.09

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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.