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Finding the Fourth Proportional to 419.94, 630.14 and 146.16

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Solution

The fourth proportional to 419.94, 630.14 and 146.16 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 630.14 = 146.16 : x
  2. Step 2: Convert to fraction form
    419.94/630.14 = 146.16/x
  3. Step 3: Cross multiply
    419.94x = 630.14 × 146.16
  4. Step 4: Simplify right side
    419.94x = 92,100.53
  5. Step 5: Solve for x
    x = 92,100.53/419.94
  6. Step 6: Final answer
    x = 219.32

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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.