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Finding the Fourth Proportional to 275.58, 380.35 and 165.07

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Solution

The fourth proportional to 275.58, 380.35 and 165.07 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 380.35 = 165.07 : x
  2. Step 2: Convert to fraction form
    275.58/380.35 = 165.07/x
  3. Step 3: Cross multiply
    275.58x = 380.35 × 165.07
  4. Step 4: Simplify right side
    275.58x = 62,781.65
  5. Step 5: Solve for x
    x = 62,781.65/275.58
  6. Step 6: Final answer
    x = 227.82

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