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Finding the Fourth Proportional to 235.10, 352.65 and 98.10

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Solution

The fourth proportional to 235.10, 352.65 and 98.10 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 352.65 = 98.10 : x
  2. Step 2: Convert to fraction form
    235.10/352.65 = 98.10/x
  3. Step 3: Cross multiply
    235.10x = 352.65 × 98.10
  4. Step 4: Simplify right side
    235.10x = 34,594.97
  5. Step 5: Solve for x
    x = 34,594.97/235.10
  6. Step 6: Final answer
    x = 147.15

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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.