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Finding the Fourth Proportional to 328.68, 453.52 and 188.80

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Solution

The fourth proportional to 328.68, 453.52 and 188.80 is: 260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.68 : 453.52 = 188.80 : x
  2. Step 2: Convert to fraction form
    328.68/453.52 = 188.80/x
  3. Step 3: Cross multiply
    328.68x = 453.52 × 188.80
  4. Step 4: Simplify right side
    328.68x = 85,623.97
  5. Step 5: Solve for x
    x = 85,623.97/328.68
  6. Step 6: Final answer
    x = 260.51

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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.