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Finding the Fourth Proportional to 255.65, 383.34 and 164.26

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Solution

The fourth proportional to 255.65, 383.34 and 164.26 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.65 : 383.34 = 164.26 : x
  2. Step 2: Convert to fraction form
    255.65/383.34 = 164.26/x
  3. Step 3: Cross multiply
    255.65x = 383.34 × 164.26
  4. Step 4: Simplify right side
    255.65x = 62,965.51
  5. Step 5: Solve for x
    x = 62,965.51/255.65
  6. Step 6: Final answer
    x = 246.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.