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Finding the Fourth Proportional to 301.12, 451.34 and 243.47

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Solution

The fourth proportional to 301.12, 451.34 and 243.47 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 451.34 = 243.47 : x
  2. Step 2: Convert to fraction form
    301.12/451.34 = 243.47/x
  3. Step 3: Cross multiply
    301.12x = 451.34 × 243.47
  4. Step 4: Simplify right side
    301.12x = 109,886.53
  5. Step 5: Solve for x
    x = 109,886.53/301.12
  6. Step 6: Final answer
    x = 364.93

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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.