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Finding the Fourth Proportional to 309.21, 463.95 and 146.94

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Solution

The fourth proportional to 309.21, 463.95 and 146.94 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 463.95 = 146.94 : x
  2. Step 2: Convert to fraction form
    309.21/463.95 = 146.94/x
  3. Step 3: Cross multiply
    309.21x = 463.95 × 146.94
  4. Step 4: Simplify right side
    309.21x = 68,172.81
  5. Step 5: Solve for x
    x = 68,172.81/309.21
  6. Step 6: Final answer
    x = 220.47

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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.