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Finding the Fourth Proportional to 188.24, 259.76 and 105.33

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Solution

The fourth proportional to 188.24, 259.76 and 105.33 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 259.76 = 105.33 : x
  2. Step 2: Convert to fraction form
    188.24/259.76 = 105.33/x
  3. Step 3: Cross multiply
    188.24x = 259.76 × 105.33
  4. Step 4: Simplify right side
    188.24x = 27,361.17
  5. Step 5: Solve for x
    x = 27,361.17/188.24
  6. Step 6: Final answer
    x = 145.35

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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.