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Finding the Fourth Proportional to 301.64, 451.90 and 193.20

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Solution

The fourth proportional to 301.64, 451.90 and 193.20 is: 289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 451.90 = 193.20 : x
  2. Step 2: Convert to fraction form
    301.64/451.90 = 193.20/x
  3. Step 3: Cross multiply
    301.64x = 451.90 × 193.20
  4. Step 4: Simplify right side
    301.64x = 87,307.08
  5. Step 5: Solve for x
    x = 87,307.08/301.64
  6. Step 6: Final answer
    x = 289.44

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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.