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Finding the Fourth Proportional to 188.60, 259.62 and 159.32

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Solution

The fourth proportional to 188.60, 259.62 and 159.32 is: 219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.60 : 259.62 = 159.32 : x
  2. Step 2: Convert to fraction form
    188.60/259.62 = 159.32/x
  3. Step 3: Cross multiply
    188.60x = 259.62 × 159.32
  4. Step 4: Simplify right side
    188.60x = 41,362.66
  5. Step 5: Solve for x
    x = 41,362.66/188.60
  6. Step 6: Final answer
    x = 219.31

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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.