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Finding the Fourth Proportional to 420.18, 629.86 and 146.19

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Solution

The fourth proportional to 420.18, 629.86 and 146.19 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 629.86 = 146.19 : x
  2. Step 2: Convert to fraction form
    420.18/629.86 = 146.19/x
  3. Step 3: Cross multiply
    420.18x = 629.86 × 146.19
  4. Step 4: Simplify right side
    420.18x = 92,079.23
  5. Step 5: Solve for x
    x = 92,079.23/420.18
  6. Step 6: Final answer
    x = 219.14

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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.