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Finding the Fourth Proportional to 250.68, 376 and 106.40

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Solution

The fourth proportional to 250.68, 376 and 106.40 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.68 : 376 = 106.40 : x
  2. Step 2: Convert to fraction form
    250.68/376 = 106.40/x
  3. Step 3: Cross multiply
    250.68x = 376 × 106.40
  4. Step 4: Simplify right side
    250.68x = 40,006.40
  5. Step 5: Solve for x
    x = 40,006.40/250.68
  6. Step 6: Final answer
    x = 159.59

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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.