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Finding the Fourth Proportional to 368.69, 552.92 and 125.16

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Solution

The fourth proportional to 368.69, 552.92 and 125.16 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.69 : 552.92 = 125.16 : x
  2. Step 2: Convert to fraction form
    368.69/552.92 = 125.16/x
  3. Step 3: Cross multiply
    368.69x = 552.92 × 125.16
  4. Step 4: Simplify right side
    368.69x = 69,200.77
  5. Step 5: Solve for x
    x = 69,200.77/368.69
  6. Step 6: Final answer
    x = 187.70

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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.