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Finding the Fourth Proportional to 174.24, 240.98 and 154.89

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Solution

The fourth proportional to 174.24, 240.98 and 154.89 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 240.98 = 154.89 : x
  2. Step 2: Convert to fraction form
    174.24/240.98 = 154.89/x
  3. Step 3: Cross multiply
    174.24x = 240.98 × 154.89
  4. Step 4: Simplify right side
    174.24x = 37,324.62
  5. Step 5: Solve for x
    x = 37,324.62/174.24
  6. Step 6: Final answer
    x = 214.21

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Why These Related Problems?

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