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Finding the Fourth Proportional to 420, 629.96 and 146.06

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Solution

The fourth proportional to 420, 629.96 and 146.06 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 629.96 = 146.06 : x
  2. Step 2: Convert to fraction form
    420/629.96 = 146.06/x
  3. Step 3: Cross multiply
    420x = 629.96 × 146.06
  4. Step 4: Simplify right side
    420x = 92,011.23
  5. Step 5: Solve for x
    x = 92,011.23/420
  6. Step 6: Final answer
    x = 219.07

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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.