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Finding the Fourth Proportional to 309, 463.68 and 146.70

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Solution

The fourth proportional to 309, 463.68 and 146.70 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.68 = 146.70 : x
  2. Step 2: Convert to fraction form
    309/463.68 = 146.70/x
  3. Step 3: Cross multiply
    309x = 463.68 × 146.70
  4. Step 4: Simplify right side
    309x = 68,021.86
  5. Step 5: Solve for x
    x = 68,021.86/309
  6. Step 6: Final answer
    x = 220.14

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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.