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Finding the Fourth Proportional to 236.60, 354.92 and 99.64

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Solution

The fourth proportional to 236.60, 354.92 and 99.64 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.60 : 354.92 = 99.64 : x
  2. Step 2: Convert to fraction form
    236.60/354.92 = 99.64/x
  3. Step 3: Cross multiply
    236.60x = 354.92 × 99.64
  4. Step 4: Simplify right side
    236.60x = 35,364.23
  5. Step 5: Solve for x
    x = 35,364.23/236.60
  6. Step 6: Final answer
    x = 149.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.