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Finding the Fourth Proportional to 420.06, 629.95 and 146.09

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Solution

The fourth proportional to 420.06, 629.95 and 146.09 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.06 : 629.95 = 146.09 : x
  2. Step 2: Convert to fraction form
    420.06/629.95 = 146.09/x
  3. Step 3: Cross multiply
    420.06x = 629.95 × 146.09
  4. Step 4: Simplify right side
    420.06x = 92,025.52
  5. Step 5: Solve for x
    x = 92,025.52/420.06
  6. Step 6: Final answer
    x = 219.08

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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.