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Finding the Fourth Proportional to 633.38, 950.05 and 171.12

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Solution

The fourth proportional to 633.38, 950.05 and 171.12 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 950.05 = 171.12 : x
  2. Step 2: Convert to fraction form
    633.38/950.05 = 171.12/x
  3. Step 3: Cross multiply
    633.38x = 950.05 × 171.12
  4. Step 4: Simplify right side
    633.38x = 162,567.81
  5. Step 5: Solve for x
    x = 162,567.81/633.38
  6. Step 6: Final answer
    x = 256.67

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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.