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Finding the Fourth Proportional to 281.98, 423.03 and 160.30

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Solution

The fourth proportional to 281.98, 423.03 and 160.30 is: 240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 423.03 = 160.30 : x
  2. Step 2: Convert to fraction form
    281.98/423.03 = 160.30/x
  3. Step 3: Cross multiply
    281.98x = 423.03 × 160.30
  4. Step 4: Simplify right side
    281.98x = 67,811.71
  5. Step 5: Solve for x
    x = 67,811.71/281.98
  6. Step 6: Final answer
    x = 240.48

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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.