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Finding the Fourth Proportional to 174.16, 239.48 and 154.72

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Solution

The fourth proportional to 174.16, 239.48 and 154.72 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 239.48 = 154.72 : x
  2. Step 2: Convert to fraction form
    174.16/239.48 = 154.72/x
  3. Step 3: Cross multiply
    174.16x = 239.48 × 154.72
  4. Step 4: Simplify right side
    174.16x = 37,052.35
  5. Step 5: Solve for x
    x = 37,052.35/174.16
  6. Step 6: Final answer
    x = 212.75

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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.