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Finding the Fourth Proportional to 420.56, 630.84 and 146.65

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Solution

The fourth proportional to 420.56, 630.84 and 146.65 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 630.84 = 146.65 : x
  2. Step 2: Convert to fraction form
    420.56/630.84 = 146.65/x
  3. Step 3: Cross multiply
    420.56x = 630.84 × 146.65
  4. Step 4: Simplify right side
    420.56x = 92,512.69
  5. Step 5: Solve for x
    x = 92,512.69/420.56
  6. Step 6: Final answer
    x = 219.98

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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.