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Finding the Fourth Proportional to 301.51, 451.50 and 146.89

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Solution

The fourth proportional to 301.51, 451.50 and 146.89 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 451.50 = 146.89 : x
  2. Step 2: Convert to fraction form
    301.51/451.50 = 146.89/x
  3. Step 3: Cross multiply
    301.51x = 451.50 × 146.89
  4. Step 4: Simplify right side
    301.51x = 66,320.84
  5. Step 5: Solve for x
    x = 66,320.84/301.51
  6. Step 6: Final answer
    x = 219.96

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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.