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Finding the Fourth Proportional to 156.13, 234.20 and 146.41

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Solution

The fourth proportional to 156.13, 234.20 and 146.41 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 234.20 = 146.41 : x
  2. Step 2: Convert to fraction form
    156.13/234.20 = 146.41/x
  3. Step 3: Cross multiply
    156.13x = 234.20 × 146.41
  4. Step 4: Simplify right side
    156.13x = 34,289.22
  5. Step 5: Solve for x
    x = 34,289.22/156.13
  6. Step 6: Final answer
    x = 219.62

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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.