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Finding the Fourth Proportional to 438.52, 657.57 and 164.50

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Solution

The fourth proportional to 438.52, 657.57 and 164.50 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 657.57 = 164.50 : x
  2. Step 2: Convert to fraction form
    438.52/657.57 = 164.50/x
  3. Step 3: Cross multiply
    438.52x = 657.57 × 164.50
  4. Step 4: Simplify right side
    438.52x = 108,170.27
  5. Step 5: Solve for x
    x = 108,170.27/438.52
  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.