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Finding the Fourth Proportional to 255.84, 353.01 and 157.65

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Solution

The fourth proportional to 255.84, 353.01 and 157.65 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 353.01 = 157.65 : x
  2. Step 2: Convert to fraction form
    255.84/353.01 = 157.65/x
  3. Step 3: Cross multiply
    255.84x = 353.01 × 157.65
  4. Step 4: Simplify right side
    255.84x = 55,652.03
  5. Step 5: Solve for x
    x = 55,652.03/255.84
  6. Step 6: Final answer
    x = 217.53

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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.