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Finding the Fourth Proportional to 256.26, 353.64 and 156.65

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Solution

The fourth proportional to 256.26, 353.64 and 156.65 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.64 = 156.65 : x
  2. Step 2: Convert to fraction form
    256.26/353.64 = 156.65/x
  3. Step 3: Cross multiply
    256.26x = 353.64 × 156.65
  4. Step 4: Simplify right side
    256.26x = 55,395.94
  5. Step 5: Solve for x
    x = 55,395.94/256.26
  6. Step 6: Final answer
    x = 216.17

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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.