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Finding the Fourth Proportional to 188.16, 259.65 and 126.03

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Solution

The fourth proportional to 188.16, 259.65 and 126.03 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 259.65 = 126.03 : x
  2. Step 2: Convert to fraction form
    188.16/259.65 = 126.03/x
  3. Step 3: Cross multiply
    188.16x = 259.65 × 126.03
  4. Step 4: Simplify right side
    188.16x = 32,723.69
  5. Step 5: Solve for x
    x = 32,723.69/188.16
  6. Step 6: Final answer
    x = 173.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.