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Finding the Fourth Proportional to 275.64, 380.61 and 188.70

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Solution

The fourth proportional to 275.64, 380.61 and 188.70 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 380.61 = 188.70 : x
  2. Step 2: Convert to fraction form
    275.64/380.61 = 188.70/x
  3. Step 3: Cross multiply
    275.64x = 380.61 × 188.70
  4. Step 4: Simplify right side
    275.64x = 71,821.11
  5. Step 5: Solve for x
    x = 71,821.11/275.64
  6. Step 6: Final answer
    x = 260.56

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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.