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Finding the Fourth Proportional to 235.05, 351.88 and 174.45

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Solution

The fourth proportional to 235.05, 351.88 and 174.45 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.05 : 351.88 = 174.45 : x
  2. Step 2: Convert to fraction form
    235.05/351.88 = 174.45/x
  3. Step 3: Cross multiply
    235.05x = 351.88 × 174.45
  4. Step 4: Simplify right side
    235.05x = 61,385.03
  5. Step 5: Solve for x
    x = 61,385.03/235.05
  6. Step 6: Final answer
    x = 261.16

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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.