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Finding the Fourth Proportional to 301.68, 452.64 and 109.36

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Solution

The fourth proportional to 301.68, 452.64 and 109.36 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 452.64 = 109.36 : x
  2. Step 2: Convert to fraction form
    301.68/452.64 = 109.36/x
  3. Step 3: Cross multiply
    301.68x = 452.64 × 109.36
  4. Step 4: Simplify right side
    301.68x = 49,500.71
  5. Step 5: Solve for x
    x = 49,500.71/301.68
  6. Step 6: Final answer
    x = 164.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.