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Finding the Fourth Proportional to 437.80, 656.60 and 164.02

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Solution

The fourth proportional to 437.80, 656.60 and 164.02 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 656.60 = 164.02 : x
  2. Step 2: Convert to fraction form
    437.80/656.60 = 164.02/x
  3. Step 3: Cross multiply
    437.80x = 656.60 × 164.02
  4. Step 4: Simplify right side
    437.80x = 107,695.53
  5. Step 5: Solve for x
    x = 107,695.53/437.80
  6. Step 6: Final answer
    x = 245.99

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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.