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Finding the Fourth Proportional to 283.26, 390.86 and 165.24

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Solution

The fourth proportional to 283.26, 390.86 and 165.24 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 390.86 = 165.24 : x
  2. Step 2: Convert to fraction form
    283.26/390.86 = 165.24/x
  3. Step 3: Cross multiply
    283.26x = 390.86 × 165.24
  4. Step 4: Simplify right side
    283.26x = 64,584.88
  5. Step 5: Solve for x
    x = 64,584.88/283.26
  6. Step 6: Final answer
    x = 228.01

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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.