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Finding the Fourth Proportional to 236.08, 354.02 and 99.12

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Solution

The fourth proportional to 236.08, 354.02 and 99.12 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.08 : 354.02 = 99.12 : x
  2. Step 2: Convert to fraction form
    236.08/354.02 = 99.12/x
  3. Step 3: Cross multiply
    236.08x = 354.02 × 99.12
  4. Step 4: Simplify right side
    236.08x = 35,090.46
  5. Step 5: Solve for x
    x = 35,090.46/236.08
  6. Step 6: Final answer
    x = 148.64

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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.