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Finding the Fourth Proportional to 420.85, 631.34 and 143.23

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Solution

The fourth proportional to 420.85, 631.34 and 143.23 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.85 : 631.34 = 143.23 : x
  2. Step 2: Convert to fraction form
    420.85/631.34 = 143.23/x
  3. Step 3: Cross multiply
    420.85x = 631.34 × 143.23
  4. Step 4: Simplify right side
    420.85x = 90,424.58
  5. Step 5: Solve for x
    x = 90,424.58/420.85
  6. Step 6: Final answer
    x = 214.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.