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Finding the Fourth Proportional to 301.67, 452.23 and 106.57

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Solution

The fourth proportional to 301.67, 452.23 and 106.57 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 452.23 = 106.57 : x
  2. Step 2: Convert to fraction form
    301.67/452.23 = 106.57/x
  3. Step 3: Cross multiply
    301.67x = 452.23 × 106.57
  4. Step 4: Simplify right side
    301.67x = 48,192.51
  5. Step 5: Solve for x
    x = 48,192.51/301.67
  6. Step 6: Final answer
    x = 159.75

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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.