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Finding the Fourth Proportional to 301.30, 451.93 and 106.24

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Solution

The fourth proportional to 301.30, 451.93 and 106.24 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.30 : 451.93 = 106.24 : x
  2. Step 2: Convert to fraction form
    301.30/451.93 = 106.24/x
  3. Step 3: Cross multiply
    301.30x = 451.93 × 106.24
  4. Step 4: Simplify right side
    301.30x = 48,013.04
  5. Step 5: Solve for x
    x = 48,013.04/301.30
  6. Step 6: Final answer
    x = 159.35

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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.