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Finding the Fourth Proportional to 438.32, 657.59 and 164.42

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Solution

The fourth proportional to 438.32, 657.59 and 164.42 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 657.59 = 164.42 : x
  2. Step 2: Convert to fraction form
    438.32/657.59 = 164.42/x
  3. Step 3: Cross multiply
    438.32x = 657.59 × 164.42
  4. Step 4: Simplify right side
    438.32x = 108,120.95
  5. Step 5: Solve for x
    x = 108,120.95/438.32
  6. Step 6: Final answer
    x = 246.67

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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.