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Finding the Fourth Proportional to 283.29, 423.90 and 173.19

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Solution

The fourth proportional to 283.29, 423.90 and 173.19 is: 259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.29 : 423.90 = 173.19 : x
  2. Step 2: Convert to fraction form
    283.29/423.90 = 173.19/x
  3. Step 3: Cross multiply
    283.29x = 423.90 × 173.19
  4. Step 4: Simplify right side
    283.29x = 73,415.24
  5. Step 5: Solve for x
    x = 73,415.24/283.29
  6. Step 6: Final answer
    x = 259.15

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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.