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Finding the Fourth Proportional to 188.15, 259.64 and 105.24

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Solution

The fourth proportional to 188.15, 259.64 and 105.24 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.15 : 259.64 = 105.24 : x
  2. Step 2: Convert to fraction form
    188.15/259.64 = 105.24/x
  3. Step 3: Cross multiply
    188.15x = 259.64 × 105.24
  4. Step 4: Simplify right side
    188.15x = 27,322.69
  5. Step 5: Solve for x
    x = 27,322.69/188.15
  6. Step 6: Final answer
    x = 145.22

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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.