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Finding the Fourth Proportional to 188.16, 259.41 and 122.64

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Solution

The fourth proportional to 188.16, 259.41 and 122.64 is: 169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 259.41 = 122.64 : x
  2. Step 2: Convert to fraction form
    188.16/259.41 = 122.64/x
  3. Step 3: Cross multiply
    188.16x = 259.41 × 122.64
  4. Step 4: Simplify right side
    188.16x = 31,814.04
  5. Step 5: Solve for x
    x = 31,814.04/188.16
  6. Step 6: Final answer
    x = 169.08

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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.