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Finding the Fourth Proportional to 286.96, 430.62 and 158.68

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Solution

The fourth proportional to 286.96, 430.62 and 158.68 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 430.62 = 158.68 : x
  2. Step 2: Convert to fraction form
    286.96/430.62 = 158.68/x
  3. Step 3: Cross multiply
    286.96x = 430.62 × 158.68
  4. Step 4: Simplify right side
    286.96x = 68,330.78
  5. Step 5: Solve for x
    x = 68,330.78/286.96
  6. Step 6: Final answer
    x = 238.12

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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.