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Finding the Fourth Proportional to 174.24, 240.06 and 146.79

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Solution

The fourth proportional to 174.24, 240.06 and 146.79 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 240.06 = 146.79 : x
  2. Step 2: Convert to fraction form
    174.24/240.06 = 146.79/x
  3. Step 3: Cross multiply
    174.24x = 240.06 × 146.79
  4. Step 4: Simplify right side
    174.24x = 35,238.41
  5. Step 5: Solve for x
    x = 35,238.41/174.24
  6. Step 6: Final answer
    x = 202.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.