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Finding the Fourth Proportional to 286.95, 430.49 and 132.98

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Solution

The fourth proportional to 286.95, 430.49 and 132.98 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 430.49 = 132.98 : x
  2. Step 2: Convert to fraction form
    286.95/430.49 = 132.98/x
  3. Step 3: Cross multiply
    286.95x = 430.49 × 132.98
  4. Step 4: Simplify right side
    286.95x = 57,246.56
  5. Step 5: Solve for x
    x = 57,246.56/286.95
  6. Step 6: Final answer
    x = 199.50

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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.