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Finding the Fourth Proportional to 421.92, 633.05 and 178.62

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Solution

The fourth proportional to 421.92, 633.05 and 178.62 is: 268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 633.05 = 178.62 : x
  2. Step 2: Convert to fraction form
    421.92/633.05 = 178.62/x
  3. Step 3: Cross multiply
    421.92x = 633.05 × 178.62
  4. Step 4: Simplify right side
    421.92x = 113,074.50
  5. Step 5: Solve for x
    x = 113,074.50/421.92
  6. Step 6: Final answer
    x = 268.00

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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.