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Finding the Fourth Proportional to 301.48, 451.98 and 125.68

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Solution

The fourth proportional to 301.48, 451.98 and 125.68 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 451.98 = 125.68 : x
  2. Step 2: Convert to fraction form
    301.48/451.98 = 125.68/x
  3. Step 3: Cross multiply
    301.48x = 451.98 × 125.68
  4. Step 4: Simplify right side
    301.48x = 56,804.85
  5. Step 5: Solve for x
    x = 56,804.85/301.48
  6. Step 6: Final answer
    x = 188.42

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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.