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Finding the Fourth Proportional to 156.85, 216.99 and 137.50

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Solution

The fourth proportional to 156.85, 216.99 and 137.50 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.85 : 216.99 = 137.50 : x
  2. Step 2: Convert to fraction form
    156.85/216.99 = 137.50/x
  3. Step 3: Cross multiply
    156.85x = 216.99 × 137.50
  4. Step 4: Simplify right side
    156.85x = 29,836.13
  5. Step 5: Solve for x
    x = 29,836.13/156.85
  6. Step 6: Final answer
    x = 190.22

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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.