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Finding the Fourth Proportional to 301.50, 452.31 and 106.53

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Solution

The fourth proportional to 301.50, 452.31 and 106.53 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 452.31 = 106.53 : x
  2. Step 2: Convert to fraction form
    301.50/452.31 = 106.53/x
  3. Step 3: Cross multiply
    301.50x = 452.31 × 106.53
  4. Step 4: Simplify right side
    301.50x = 48,184.58
  5. Step 5: Solve for x
    x = 48,184.58/301.50
  6. Step 6: Final answer
    x = 159.82

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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.