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Finding the Fourth Proportional to 235.96, 354.08 and 99.03

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Solution

The fourth proportional to 235.96, 354.08 and 99.03 is: 148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 354.08 = 99.03 : x
  2. Step 2: Convert to fraction form
    235.96/354.08 = 99.03/x
  3. Step 3: Cross multiply
    235.96x = 354.08 × 99.03
  4. Step 4: Simplify right side
    235.96x = 35,064.54
  5. Step 5: Solve for x
    x = 35,064.54/235.96
  6. Step 6: Final answer
    x = 148.60

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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.