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Finding the Fourth Proportional to 174.65, 240.23 and 153.79

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Solution

The fourth proportional to 174.65, 240.23 and 153.79 is: 211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 240.23 = 153.79 : x
  2. Step 2: Convert to fraction form
    174.65/240.23 = 153.79/x
  3. Step 3: Cross multiply
    174.65x = 240.23 × 153.79
  4. Step 4: Simplify right side
    174.65x = 36,944.76
  5. Step 5: Solve for x
    x = 36,944.76/174.65
  6. Step 6: Final answer
    x = 211.54

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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.