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Finding the Fourth Proportional to 156.98, 216.74 and 120.38

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Solution

The fourth proportional to 156.98, 216.74 and 120.38 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 216.74 = 120.38 : x
  2. Step 2: Convert to fraction form
    156.98/216.74 = 120.38/x
  3. Step 3: Cross multiply
    156.98x = 216.74 × 120.38
  4. Step 4: Simplify right side
    156.98x = 26,090.08
  5. Step 5: Solve for x
    x = 26,090.08/156.98
  6. Step 6: Final answer
    x = 166.21

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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.