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Finding the Fourth Proportional to 309.65, 463.46 and 172.35

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Solution

The fourth proportional to 309.65, 463.46 and 172.35 is: 257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 463.46 = 172.35 : x
  2. Step 2: Convert to fraction form
    309.65/463.46 = 172.35/x
  3. Step 3: Cross multiply
    309.65x = 463.46 × 172.35
  4. Step 4: Simplify right side
    309.65x = 79,876.47
  5. Step 5: Solve for x
    x = 79,876.47/309.65
  6. Step 6: Final answer
    x = 257.96

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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.