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Finding the Fourth Proportional to 275.80, 380.57 and 157.76

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Solution

The fourth proportional to 275.80, 380.57 and 157.76 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.80 : 380.57 = 157.76 : x
  2. Step 2: Convert to fraction form
    275.80/380.57 = 157.76/x
  3. Step 3: Cross multiply
    275.80x = 380.57 × 157.76
  4. Step 4: Simplify right side
    275.80x = 60,038.47
  5. Step 5: Solve for x
    x = 60,038.47/275.80
  6. Step 6: Final answer
    x = 217.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.