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Finding the Fourth Proportional to 156.98, 234.67 and 116.02

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Solution

The fourth proportional to 156.98, 234.67 and 116.02 is: 173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.98 : 234.67 = 116.02 : x
  2. Step 2: Convert to fraction form
    156.98/234.67 = 116.02/x
  3. Step 3: Cross multiply
    156.98x = 234.67 × 116.02
  4. Step 4: Simplify right side
    156.98x = 27,225.83
  5. Step 5: Solve for x
    x = 27,225.83/156.98
  6. Step 6: Final answer
    x = 173.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.