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Finding the Fourth Proportional to 301.58, 452.34 and 106.55

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Solution

The fourth proportional to 301.58, 452.34 and 106.55 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 452.34 = 106.55 : x
  2. Step 2: Convert to fraction form
    301.58/452.34 = 106.55/x
  3. Step 3: Cross multiply
    301.58x = 452.34 × 106.55
  4. Step 4: Simplify right side
    301.58x = 48,196.83
  5. Step 5: Solve for x
    x = 48,196.83/301.58
  6. Step 6: Final answer
    x = 159.81

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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.