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Finding the Fourth Proportional to 235.04, 352.55 and 98.01

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Solution

The fourth proportional to 235.04, 352.55 and 98.01 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 352.55 = 98.01 : x
  2. Step 2: Convert to fraction form
    235.04/352.55 = 98.01/x
  3. Step 3: Cross multiply
    235.04x = 352.55 × 98.01
  4. Step 4: Simplify right side
    235.04x = 34,553.67
  5. Step 5: Solve for x
    x = 34,553.67/235.04
  6. Step 6: Final answer
    x = 147.02

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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.