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Finding the Fourth Proportional to 328.54, 453.42 and 188.68

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Solution

The fourth proportional to 328.54, 453.42 and 188.68 is: 260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.54 : 453.42 = 188.68 : x
  2. Step 2: Convert to fraction form
    328.54/453.42 = 188.68/x
  3. Step 3: Cross multiply
    328.54x = 453.42 × 188.68
  4. Step 4: Simplify right side
    328.54x = 85,550.15
  5. Step 5: Solve for x
    x = 85,550.15/328.54
  6. Step 6: Final answer
    x = 260.40

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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.