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Finding the Fourth Proportional to 247.80, 371.43 and 151.50

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Solution

The fourth proportional to 247.80, 371.43 and 151.50 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.80 : 371.43 = 151.50 : x
  2. Step 2: Convert to fraction form
    247.80/371.43 = 151.50/x
  3. Step 3: Cross multiply
    247.80x = 371.43 × 151.50
  4. Step 4: Simplify right side
    247.80x = 56,271.65
  5. Step 5: Solve for x
    x = 56,271.65/247.80
  6. Step 6: Final answer
    x = 227.08

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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.