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Finding the Fourth Proportional to 164.37, 245.37 and 151.50

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Solution

The fourth proportional to 164.37, 245.37 and 151.50 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 245.37 = 151.50 : x
  2. Step 2: Convert to fraction form
    164.37/245.37 = 151.50/x
  3. Step 3: Cross multiply
    164.37x = 245.37 × 151.50
  4. Step 4: Simplify right side
    164.37x = 37,173.56
  5. Step 5: Solve for x
    x = 37,173.56/164.37
  6. Step 6: Final answer
    x = 226.16

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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.