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Finding the Fourth Proportional to 188.60, 260.34 and 169.16

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Solution

The fourth proportional to 188.60, 260.34 and 169.16 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.60 : 260.34 = 169.16 : x
  2. Step 2: Convert to fraction form
    188.60/260.34 = 169.16/x
  3. Step 3: Cross multiply
    188.60x = 260.34 × 169.16
  4. Step 4: Simplify right side
    188.60x = 44,039.11
  5. Step 5: Solve for x
    x = 44,039.11/188.60
  6. Step 6: Final answer
    x = 233.51

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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.