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Finding the Fourth Proportional to 255.84, 384 and 159.36

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Solution

The fourth proportional to 255.84, 384 and 159.36 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 384 = 159.36 : x
  2. Step 2: Convert to fraction form
    255.84/384 = 159.36/x
  3. Step 3: Cross multiply
    255.84x = 384 × 159.36
  4. Step 4: Simplify right side
    255.84x = 61,194.24
  5. Step 5: Solve for x
    x = 61,194.24/255.84
  6. Step 6: Final answer
    x = 239.19

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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.