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Finding the Fourth Proportional to 328.25, 452.96 and 188.37

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Solution

The fourth proportional to 328.25, 452.96 and 188.37 is: 259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 452.96 = 188.37 : x
  2. Step 2: Convert to fraction form
    328.25/452.96 = 188.37/x
  3. Step 3: Cross multiply
    328.25x = 452.96 × 188.37
  4. Step 4: Simplify right side
    328.25x = 85,323.13
  5. Step 5: Solve for x
    x = 85,323.13/328.25
  6. Step 6: Final answer
    x = 259.94

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Why These Related Problems?

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