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Finding the Fourth Proportional to 156.88, 235.40 and 92.80

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Solution

The fourth proportional to 156.88, 235.40 and 92.80 is: 139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.88 : 235.40 = 92.80 : x
  2. Step 2: Convert to fraction form
    156.88/235.40 = 92.80/x
  3. Step 3: Cross multiply
    156.88x = 235.40 × 92.80
  4. Step 4: Simplify right side
    156.88x = 21,845.12
  5. Step 5: Solve for x
    x = 21,845.12/156.88
  6. Step 6: Final answer
    x = 139.25

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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.