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Finding the Fourth Proportional to 309.01, 463.82 and 146.81

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Solution

The fourth proportional to 309.01, 463.82 and 146.81 is: 220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 463.82 = 146.81 : x
  2. Step 2: Convert to fraction form
    309.01/463.82 = 146.81/x
  3. Step 3: Cross multiply
    309.01x = 463.82 × 146.81
  4. Step 4: Simplify right side
    309.01x = 68,093.41
  5. Step 5: Solve for x
    x = 68,093.41/309.01
  6. Step 6: Final answer
    x = 220.36

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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.