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Finding the Fourth Proportional to 174.50, 261.83 and 64.85

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Solution

The fourth proportional to 174.50, 261.83 and 64.85 is: 97.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.50 : 261.83 = 64.85 : x
  2. Step 2: Convert to fraction form
    174.50/261.83 = 64.85/x
  3. Step 3: Cross multiply
    174.50x = 261.83 × 64.85
  4. Step 4: Simplify right side
    174.50x = 16,980.00
  5. Step 5: Solve for x
    x = 16,980.00/174.50
  6. Step 6: Final answer
    x = 97.30

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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.