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Finding the Fourth Proportional to 328.05, 452.58 and 188.14

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Solution

The fourth proportional to 328.05, 452.58 and 188.14 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.05 : 452.58 = 188.14 : x
  2. Step 2: Convert to fraction form
    328.05/452.58 = 188.14/x
  3. Step 3: Cross multiply
    328.05x = 452.58 × 188.14
  4. Step 4: Simplify right side
    328.05x = 85,148.40
  5. Step 5: Solve for x
    x = 85,148.40/328.05
  6. Step 6: Final answer
    x = 259.56

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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.