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Finding the Fourth Proportional to 368.20, 552.06 and 175.96

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Solution

The fourth proportional to 368.20, 552.06 and 175.96 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.20 : 552.06 = 175.96 : x
  2. Step 2: Convert to fraction form
    368.20/552.06 = 175.96/x
  3. Step 3: Cross multiply
    368.20x = 552.06 × 175.96
  4. Step 4: Simplify right side
    368.20x = 97,140.48
  5. Step 5: Solve for x
    x = 97,140.48/368.20
  6. Step 6: Final answer
    x = 263.83

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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.