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Finding the Fourth Proportional to 420.22, 629.70 and 176.50

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Solution

The fourth proportional to 420.22, 629.70 and 176.50 is: 264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.22 : 629.70 = 176.50 : x
  2. Step 2: Convert to fraction form
    420.22/629.70 = 176.50/x
  3. Step 3: Cross multiply
    420.22x = 629.70 × 176.50
  4. Step 4: Simplify right side
    420.22x = 111,142.05
  5. Step 5: Solve for x
    x = 111,142.05/420.22
  6. Step 6: Final answer
    x = 264.49

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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.