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Finding the Fourth Proportional to 328.07, 452.71 and 180.71

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Solution

The fourth proportional to 328.07, 452.71 and 180.71 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 452.71 = 180.71 : x
  2. Step 2: Convert to fraction form
    328.07/452.71 = 180.71/x
  3. Step 3: Cross multiply
    328.07x = 452.71 × 180.71
  4. Step 4: Simplify right side
    328.07x = 81,806.51
  5. Step 5: Solve for x
    x = 81,806.51/328.07
  6. Step 6: Final answer
    x = 249.36

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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.