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Finding the Fourth Proportional to 218.77, 328.49 and 177.80

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Solution

The fourth proportional to 218.77, 328.49 and 177.80 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.77 : 328.49 = 177.80 : x
  2. Step 2: Convert to fraction form
    218.77/328.49 = 177.80/x
  3. Step 3: Cross multiply
    218.77x = 328.49 × 177.80
  4. Step 4: Simplify right side
    218.77x = 58,402.99
  5. Step 5: Solve for x
    x = 58,402.99/218.77
  6. Step 6: Final answer
    x = 266.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.