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Finding the Fourth Proportional to 438.12, 656.66 and 194.37

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Solution

The fourth proportional to 438.12, 656.66 and 194.37 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 656.66 = 194.37 : x
  2. Step 2: Convert to fraction form
    438.12/656.66 = 194.37/x
  3. Step 3: Cross multiply
    438.12x = 656.66 × 194.37
  4. Step 4: Simplify right side
    438.12x = 127,634.03
  5. Step 5: Solve for x
    x = 127,634.03/438.12
  6. Step 6: Final answer
    x = 291.32

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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.