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Finding the Fourth Proportional to 420.81, 631.31 and 146.91

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Solution

The fourth proportional to 420.81, 631.31 and 146.91 is: 220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.81 : 631.31 = 146.91 : x
  2. Step 2: Convert to fraction form
    420.81/631.31 = 146.91/x
  3. Step 3: Cross multiply
    420.81x = 631.31 × 146.91
  4. Step 4: Simplify right side
    420.81x = 92,745.02
  5. Step 5: Solve for x
    x = 92,745.02/420.81
  6. Step 6: Final answer
    x = 220.40

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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.