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Finding the Fourth Proportional to 236.19, 325.59 and 166.02

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Solution

The fourth proportional to 236.19, 325.59 and 166.02 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.19 : 325.59 = 166.02 : x
  2. Step 2: Convert to fraction form
    236.19/325.59 = 166.02/x
  3. Step 3: Cross multiply
    236.19x = 325.59 × 166.02
  4. Step 4: Simplify right side
    236.19x = 54,054.45
  5. Step 5: Solve for x
    x = 54,054.45/236.19
  6. Step 6: Final answer
    x = 228.86

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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.