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Finding the Fourth Proportional to 438.46, 657.96 and 164.64

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Solution

The fourth proportional to 438.46, 657.96 and 164.64 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.46 : 657.96 = 164.64 : x
  2. Step 2: Convert to fraction form
    438.46/657.96 = 164.64/x
  3. Step 3: Cross multiply
    438.46x = 657.96 × 164.64
  4. Step 4: Simplify right side
    438.46x = 108,326.53
  5. Step 5: Solve for x
    x = 108,326.53/438.46
  6. Step 6: Final answer
    x = 247.06

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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.