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Finding the Fourth Proportional to 286.93, 430.17 and 149.86

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Solution

The fourth proportional to 286.93, 430.17 and 149.86 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.93 : 430.17 = 149.86 : x
  2. Step 2: Convert to fraction form
    286.93/430.17 = 149.86/x
  3. Step 3: Cross multiply
    286.93x = 430.17 × 149.86
  4. Step 4: Simplify right side
    286.93x = 64,465.28
  5. Step 5: Solve for x
    x = 64,465.28/286.93
  6. Step 6: Final answer
    x = 224.67

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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.