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Finding the Fourth Proportional to 174.77, 261.91 and 97.77

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Solution

The fourth proportional to 174.77, 261.91 and 97.77 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 261.91 = 97.77 : x
  2. Step 2: Convert to fraction form
    174.77/261.91 = 97.77/x
  3. Step 3: Cross multiply
    174.77x = 261.91 × 97.77
  4. Step 4: Simplify right side
    174.77x = 25,606.94
  5. Step 5: Solve for x
    x = 25,606.94/174.77
  6. Step 6: Final answer
    x = 146.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.