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Finding the Fourth Proportional to 283.26, 390.95 and 165.25

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Solution

The fourth proportional to 283.26, 390.95 and 165.25 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 390.95 = 165.25 : x
  2. Step 2: Convert to fraction form
    283.26/390.95 = 165.25/x
  3. Step 3: Cross multiply
    283.26x = 390.95 × 165.25
  4. Step 4: Simplify right side
    283.26x = 64,604.49
  5. Step 5: Solve for x
    x = 64,604.49/283.26
  6. Step 6: Final answer
    x = 228.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.