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Finding the Fourth Proportional to 438.64, 657.96 and 164.86

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Solution

The fourth proportional to 438.64, 657.96 and 164.86 is: 247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 657.96 = 164.86 : x
  2. Step 2: Convert to fraction form
    438.64/657.96 = 164.86/x
  3. Step 3: Cross multiply
    438.64x = 657.96 × 164.86
  4. Step 4: Simplify right side
    438.64x = 108,471.29
  5. Step 5: Solve for x
    x = 108,471.29/438.64
  6. Step 6: Final answer
    x = 247.29

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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.