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Finding the Fourth Proportional to 309.12, 463.52 and 146.72

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Solution

The fourth proportional to 309.12, 463.52 and 146.72 is: 220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.52 = 146.72 : x
  2. Step 2: Convert to fraction form
    309.12/463.52 = 146.72/x
  3. Step 3: Cross multiply
    309.12x = 463.52 × 146.72
  4. Step 4: Simplify right side
    309.12x = 68,007.65
  5. Step 5: Solve for x
    x = 68,007.65/309.12
  6. Step 6: Final answer
    x = 220.00

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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.