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Finding the Fourth Proportional to 255.16, 352.06 and 156.88

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Solution

The fourth proportional to 255.16, 352.06 and 156.88 is: 216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 352.06 = 156.88 : x
  2. Step 2: Convert to fraction form
    255.16/352.06 = 156.88/x
  3. Step 3: Cross multiply
    255.16x = 352.06 × 156.88
  4. Step 4: Simplify right side
    255.16x = 55,231.17
  5. Step 5: Solve for x
    x = 55,231.17/255.16
  6. Step 6: Final answer
    x = 216.46

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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.