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Finding the Fourth Proportional to 189.04, 260.54 and 159.48

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Solution

The fourth proportional to 189.04, 260.54 and 159.48 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 260.54 = 159.48 : x
  2. Step 2: Convert to fraction form
    189.04/260.54 = 159.48/x
  3. Step 3: Cross multiply
    189.04x = 260.54 × 159.48
  4. Step 4: Simplify right side
    189.04x = 41,550.92
  5. Step 5: Solve for x
    x = 41,550.92/189.04
  6. Step 6: Final answer
    x = 219.80

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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.