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Finding the Fourth Proportional to 301.71, 451.91 and 147.32

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Solution

The fourth proportional to 301.71, 451.91 and 147.32 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.71 : 451.91 = 147.32 : x
  2. Step 2: Convert to fraction form
    301.71/451.91 = 147.32/x
  3. Step 3: Cross multiply
    301.71x = 451.91 × 147.32
  4. Step 4: Simplify right side
    301.71x = 66,573.49
  5. Step 5: Solve for x
    x = 66,573.49/301.71
  6. Step 6: Final answer
    x = 220.65

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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.