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Finding the Fourth Proportional to 156.87, 234.23 and 138.65

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Solution

The fourth proportional to 156.87, 234.23 and 138.65 is: 207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.87 : 234.23 = 138.65 : x
  2. Step 2: Convert to fraction form
    156.87/234.23 = 138.65/x
  3. Step 3: Cross multiply
    156.87x = 234.23 × 138.65
  4. Step 4: Simplify right side
    156.87x = 32,474.13
  5. Step 5: Solve for x
    x = 32,474.13/156.87
  6. Step 6: Final answer
    x = 207.01

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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.