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Finding the Fourth Proportional to 420.95, 631.21 and 146.96

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Solution

The fourth proportional to 420.95, 631.21 and 146.96 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.95 : 631.21 = 146.96 : x
  2. Step 2: Convert to fraction form
    420.95/631.21 = 146.96/x
  3. Step 3: Cross multiply
    420.95x = 631.21 × 146.96
  4. Step 4: Simplify right side
    420.95x = 92,762.62
  5. Step 5: Solve for x
    x = 92,762.62/420.95
  6. Step 6: Final answer
    x = 220.36

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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.