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Finding the Fourth Proportional to 301.68, 451.80 and 240.86

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Solution

The fourth proportional to 301.68, 451.80 and 240.86 is: 360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 451.80 = 240.86 : x
  2. Step 2: Convert to fraction form
    301.68/451.80 = 240.86/x
  3. Step 3: Cross multiply
    301.68x = 451.80 × 240.86
  4. Step 4: Simplify right side
    301.68x = 108,821.68
  5. Step 5: Solve for x
    x = 108,821.68/301.68
  6. Step 6: Final answer
    x = 360.72

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