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Finding the Fourth Proportional to 437.63, 656.44 and 149.06

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Solution

The fourth proportional to 437.63, 656.44 and 149.06 is: 223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 656.44 = 149.06 : x
  2. Step 2: Convert to fraction form
    437.63/656.44 = 149.06/x
  3. Step 3: Cross multiply
    437.63x = 656.44 × 149.06
  4. Step 4: Simplify right side
    437.63x = 97,850.21
  5. Step 5: Solve for x
    x = 97,850.21/437.63
  6. Step 6: Final answer
    x = 223.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.