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Finding the Fourth Proportional to 286.26, 428.40 and 176.64

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Solution

The fourth proportional to 286.26, 428.40 and 176.64 is: 264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 428.40 = 176.64 : x
  2. Step 2: Convert to fraction form
    286.26/428.40 = 176.64/x
  3. Step 3: Cross multiply
    286.26x = 428.40 × 176.64
  4. Step 4: Simplify right side
    286.26x = 75,672.58
  5. Step 5: Solve for x
    x = 75,672.58/286.26
  6. Step 6: Final answer
    x = 264.35

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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.