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Finding the Fourth Proportional to 188.08, 259.56 and 105.20

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Solution

The fourth proportional to 188.08, 259.56 and 105.20 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.08 : 259.56 = 105.20 : x
  2. Step 2: Convert to fraction form
    188.08/259.56 = 105.20/x
  3. Step 3: Cross multiply
    188.08x = 259.56 × 105.20
  4. Step 4: Simplify right side
    188.08x = 27,305.71
  5. Step 5: Solve for x
    x = 27,305.71/188.08
  6. Step 6: Final answer
    x = 145.18

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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.