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Finding the Fourth Proportional to 236.64, 356.52 and 180

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Solution

The fourth proportional to 236.64, 356.52 and 180 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.64 : 356.52 = 180 : x
  2. Step 2: Convert to fraction form
    236.64/356.52 = 180/x
  3. Step 3: Cross multiply
    236.64x = 356.52 × 180
  4. Step 4: Simplify right side
    236.64x = 64,173.60
  5. Step 5: Solve for x
    x = 64,173.60/236.64
  6. Step 6: Final answer
    x = 271.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.