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Finding the Fourth Proportional to 368.57, 552.72 and 108.50

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Solution

The fourth proportional to 368.57, 552.72 and 108.50 is: 162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.57 : 552.72 = 108.50 : x
  2. Step 2: Convert to fraction form
    368.57/552.72 = 108.50/x
  3. Step 3: Cross multiply
    368.57x = 552.72 × 108.50
  4. Step 4: Simplify right side
    368.57x = 59,970.12
  5. Step 5: Solve for x
    x = 59,970.12/368.57
  6. Step 6: Final answer
    x = 162.71

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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.