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Finding the Fourth Proportional to 235.78, 352.98 and 175.18

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Solution

The fourth proportional to 235.78, 352.98 and 175.18 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 352.98 = 175.18 : x
  2. Step 2: Convert to fraction form
    235.78/352.98 = 175.18/x
  3. Step 3: Cross multiply
    235.78x = 352.98 × 175.18
  4. Step 4: Simplify right side
    235.78x = 61,834.15
  5. Step 5: Solve for x
    x = 61,834.15/235.78
  6. Step 6: Final answer
    x = 262.26

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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.