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Finding the Fourth Proportional to 286.73, 430.32 and 165.05

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Solution

The fourth proportional to 286.73, 430.32 and 165.05 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.73 : 430.32 = 165.05 : x
  2. Step 2: Convert to fraction form
    286.73/430.32 = 165.05/x
  3. Step 3: Cross multiply
    286.73x = 430.32 × 165.05
  4. Step 4: Simplify right side
    286.73x = 71,024.32
  5. Step 5: Solve for x
    x = 71,024.32/286.73
  6. Step 6: Final answer
    x = 247.70

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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.