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Finding the Fourth Proportional to 309.70, 463.86 and 172.60

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Solution

The fourth proportional to 309.70, 463.86 and 172.60 is: 258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 463.86 = 172.60 : x
  2. Step 2: Convert to fraction form
    309.70/463.86 = 172.60/x
  3. Step 3: Cross multiply
    309.70x = 463.86 × 172.60
  4. Step 4: Simplify right side
    309.70x = 80,062.24
  5. Step 5: Solve for x
    x = 80,062.24/309.70
  6. Step 6: Final answer
    x = 258.52

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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.