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Finding the Fourth Proportional to 275.19, 379.80 and 209.58

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Solution

The fourth proportional to 275.19, 379.80 and 209.58 is: 289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.19 : 379.80 = 209.58 : x
  2. Step 2: Convert to fraction form
    275.19/379.80 = 209.58/x
  3. Step 3: Cross multiply
    275.19x = 379.80 × 209.58
  4. Step 4: Simplify right side
    275.19x = 79,598.48
  5. Step 5: Solve for x
    x = 79,598.48/275.19
  6. Step 6: Final answer
    x = 289.25

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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.