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Finding the Fourth Proportional to 156.70, 234.59 and 116.30

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Solution

The fourth proportional to 156.70, 234.59 and 116.30 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.70 : 234.59 = 116.30 : x
  2. Step 2: Convert to fraction form
    156.70/234.59 = 116.30/x
  3. Step 3: Cross multiply
    156.70x = 234.59 × 116.30
  4. Step 4: Simplify right side
    156.70x = 27,282.24
  5. Step 5: Solve for x
    x = 27,282.24/156.70
  6. Step 6: Final answer
    x = 174.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.