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Finding the Fourth Proportional to 368.10, 551.43 and 172.85

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Solution

The fourth proportional to 368.10, 551.43 and 172.85 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.10 : 551.43 = 172.85 : x
  2. Step 2: Convert to fraction form
    368.10/551.43 = 172.85/x
  3. Step 3: Cross multiply
    368.10x = 551.43 × 172.85
  4. Step 4: Simplify right side
    368.10x = 95,311.92
  5. Step 5: Solve for x
    x = 95,311.92/368.10
  6. Step 6: Final answer
    x = 258.93

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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.