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Finding the Fourth Proportional to 309.46, 463.65 and 172.03

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Solution

The fourth proportional to 309.46, 463.65 and 172.03 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 463.65 = 172.03 : x
  2. Step 2: Convert to fraction form
    309.46/463.65 = 172.03/x
  3. Step 3: Cross multiply
    309.46x = 463.65 × 172.03
  4. Step 4: Simplify right side
    309.46x = 79,761.71
  5. Step 5: Solve for x
    x = 79,761.71/309.46
  6. Step 6: Final answer
    x = 257.74

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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.