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Finding the Fourth Proportional to 309.32, 463.67 and 146.81

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Solution

The fourth proportional to 309.32, 463.67 and 146.81 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.32 : 463.67 = 146.81 : x
  2. Step 2: Convert to fraction form
    309.32/463.67 = 146.81/x
  3. Step 3: Cross multiply
    309.32x = 463.67 × 146.81
  4. Step 4: Simplify right side
    309.32x = 68,073.19
  5. Step 5: Solve for x
    x = 68,073.19/309.32
  6. Step 6: Final answer
    x = 220.07

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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.