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Finding the Fourth Proportional to 275.75, 380.62 and 177.50

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Solution

The fourth proportional to 275.75, 380.62 and 177.50 is: 245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 380.62 = 177.50 : x
  2. Step 2: Convert to fraction form
    275.75/380.62 = 177.50/x
  3. Step 3: Cross multiply
    275.75x = 380.62 × 177.50
  4. Step 4: Simplify right side
    275.75x = 67,561.13
  5. Step 5: Solve for x
    x = 67,561.13/275.75
  6. Step 6: Final answer
    x = 245.01

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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.