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Finding the Fourth Proportional to 309.34, 463.74 and 146.94

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Solution

The fourth proportional to 309.34, 463.74 and 146.94 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 463.74 = 146.94 : x
  2. Step 2: Convert to fraction form
    309.34/463.74 = 146.94/x
  3. Step 3: Cross multiply
    309.34x = 463.74 × 146.94
  4. Step 4: Simplify right side
    309.34x = 68,139.64
  5. Step 5: Solve for x
    x = 68,139.64/309.34
  6. Step 6: Final answer
    x = 220.27

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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.