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Finding the Fourth Proportional to 283.45, 423.12 and 245.18

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Solution

The fourth proportional to 283.45, 423.12 and 245.18 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.45 : 423.12 = 245.18 : x
  2. Step 2: Convert to fraction form
    283.45/423.12 = 245.18/x
  3. Step 3: Cross multiply
    283.45x = 423.12 × 245.18
  4. Step 4: Simplify right side
    283.45x = 103,740.56
  5. Step 5: Solve for x
    x = 103,740.56/283.45
  6. Step 6: Final answer
    x = 365.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.