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Finding the Fourth Proportional to 255.60, 352.71 and 156.10

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Solution

The fourth proportional to 255.60, 352.71 and 156.10 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 352.71 = 156.10 : x
  2. Step 2: Convert to fraction form
    255.60/352.71 = 156.10/x
  3. Step 3: Cross multiply
    255.60x = 352.71 × 156.10
  4. Step 4: Simplify right side
    255.60x = 55,058.03
  5. Step 5: Solve for x
    x = 55,058.03/255.60
  6. Step 6: Final answer
    x = 215.41

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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.