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Finding the Fourth Proportional to 286.68, 430.16 and 149.83

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Solution

The fourth proportional to 286.68, 430.16 and 149.83 is: 224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.68 : 430.16 = 149.83 : x
  2. Step 2: Convert to fraction form
    286.68/430.16 = 149.83/x
  3. Step 3: Cross multiply
    286.68x = 430.16 × 149.83
  4. Step 4: Simplify right side
    286.68x = 64,450.87
  5. Step 5: Solve for x
    x = 64,450.87/286.68
  6. Step 6: Final answer
    x = 224.82

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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.